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12th Edition

Dale Ewen

Publisher: Cengage Learning

ISBN: 9781337630580

Chapter 12.5, Problem 29E

Textbook Problem

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In Illustration 5, find the area of the rectangular piece of metal after the two circles are removed.

**ILLUSTRATION 5**

To determine

**To calculate:** The area of the rectangular piece of metal after the two circles are removed as shown in the below figure,

**Given Information:**

A rectangular piece of metal with length 60.00 cm and width 30.00 cm such that two circles with diameters 14.00 cm and 20.00 cm are removed from this rectangular piece.

**Formula used:**

The formula for the area, *A* of a circle is given by,

Here *d* is the length of the diameter and *r* is the length of the radius of the circle.

Area of the rectangle with length *l* and width *w* is,

**Calculation:**

Consider the rectangular piece of metal,

From the above figure, it can be noted that the required area can be found by subtracting the total areas of the two circles from the area of the rectangle.

As the diameter of the bigger circle is 20.00 cm. Thus, the area of the bigger circle is,

As the diameter of the smaller circle is 14.00 cm. Thus, the area of the smaller circle is,

From the provided figure, the length of the rectangle is 60

Elementary Technical Mathematics

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What...Ch. 12.2 - The cost of the fiberglass in Exercise 23 is...Ch. 12.2 - How many pieces of fiberglass, 36 in. wide and 72...Ch. 12.2 - A business owner plans to build a storage garage...Ch. 12.2 - The rear view mirror of an automobile measures 2.9...Ch. 12.2 - A machinist plans to build a screen around his...Ch. 12.2 - A piece of sheet metal in the shape of a...Ch. 12.2 - A rectangular piece of sheet metal has an area of...Ch. 12.2 - What is the acreage of a ranch that is a square,...Ch. 12.2 - A rectangular field of corn is averaging 115...Ch. 12.2 - Find the amount of sheathing needed for the roof...Ch. 12.2 - A ceiling is 12 ft by 15 ft. How many 1-ft by 3-ft...Ch. 12.2 - The Smith family plan to paint the exterior of...Ch. 12.2 - An 8-in.-thick wall uses 15 standard bricks (8 in....Ch. 12.2 - What is the display floor space of a...Ch. 12.2 - Canvas that costs 34/in2 is used to make golf...Ch. 12.2 - By law, all businesses outside the Parkville city...Ch. 12.2 - Find the area of the three trapezoid-shaped...Ch. 12.2 - In a plant, an inside walkway is being laid out to...Ch. 12.2 - A rectangular lot is 155 ft 175 ft. The house,...Ch. 12.2 - In the mid-20th century, engineers constructed a...Ch. 12.2 - A game preserve manager fences off a pasture...Ch. 12.2 - A plot of land in the shape of a parallelogram...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Use the rules for working with measurements. Find...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the missing side in each...Ch. 12.3 - Find the length of the braces needed for the...Ch. 12.3 - Find the center-to-center distance between the two...Ch. 12.3 - Find the total length of brace material needed in...Ch. 12.3 - Often, a machinist must cut a keyway in a shaft....Ch. 12.3 - A piece of 4.00-in.-diameter round stock is to be...Ch. 12.3 - Find the length of the rafter in Illustration 6....Ch. 12.3 - Find the offset distance x (rounded to nearest...Ch. 12.3 - A conduit is run in a building (see Illustration...Ch. 12.3 - The voltage across a resistance is 85.2 V. 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Find its radius.Ch. 12.5 - The circumference of a circle is 62.9 m. Find its...Ch. 12.5 - The circumference of a circle is 17.2 in. Find its...Ch. 12.5 - How many degrees are in a central angle whose arc...Ch. 12.5 - How many degrees are in a central angle whose arc...Ch. 12.5 - A welded circular metal tank has radius 24.0 in. A...Ch. 12.5 - A circular hole is to be made in the side of a...Ch. 12.5 - The airspeed indicator of an airplane is circular...Ch. 12.5 - The side view of a tire resembles a doughnut. If...Ch. 12.5 - If the rim diameter of a wheel of a vehicle is...Ch. 12.5 - Round metal duct has a cross-sectional area of 113...Ch. 12.5 - A wheel of radius 1.80 ft is used to measure a...Ch. 12.5 - Find the length of the diameter of a circular silo...Ch. 12.5 - A rectangular piece of insulation is to be wrapped...Ch. 12.5 - How many 1.5-in.-diameter pipes will be needed to...Ch. 12.5 - A manifold is being designed to carry compressed...Ch. 12.5 - A pipe has a 3.50-in. outside diameter and a...Ch. 12.5 - In Illustration 5, find the area of the...Ch. 12.5 - Find the area and perimeter of the figure in...Ch. 12.5 - Find the length of strapping needed for the pipe...Ch. 12.5 - In a design for a workstation, in Illustration 8,...Ch. 12.5 - A boiler 5.00 ft in diameter is to be placed in a...Ch. 12.5 - A pulley is connected to a spindle of a wheel by a...Ch. 12.5 - Mary needs to punch 5 equally spaced holes in a...Ch. 12.5 - In Illustration 12, a. find the measure of 1,...Ch. 12.5 - Find the measure of 1 in Illustration 13....Ch. 12.5 - In Illustration 13, the length of AC is 5 and the...Ch. 12.5 - Illustration 14 shows a satellite at position P...Ch. 12.5 - In Illustration 15, CP = 12.2 m and PB = 10.8 m....Ch. 12.5 - Exercises 4144 refer to Illustration 16. 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(diameter) banquet...Ch. 12.5 - The Highlington Farms Banquet Hall uses 8.00-ft ...Ch. 12.5 - A bride has chosen the ballroom of a local hotel...Ch. 12.5 - Ten dozen cookies are ordered for a special event....Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - In general, round lengths and angles in radians...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - Complete the table using the formula s = r ( in...Ch. 12.6 - A pulley is turning at an angular velocity of 10.0...Ch. 12.6 - The radius of a wheel is 20.0 in. It turns through...Ch. 12.6 - The radius of a gear is 22.0 cm. It turns through...Ch. 12.6 - A wheel of diameter 6.00 m travels a distance of...Ch. 12.6 - A wheel of diameter 15.2 cm turns through an angle...Ch. 12.6 - In Illustration 1, find a. the length of arc s b....Ch. 12.6 - In Illustration 2, find a. the length of arc s b....Ch. 12.6 - Given two concentric circles (circles with the...Ch. 12.6 - A round pizza, with a 12.0-in. diameter, is cut...Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: In...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: a....Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: A...Ch. 12.7 - Follow the rules for working with measurements: An...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.7 - Follow the rules for working with measurements:...Ch. 12.8 - Find the volume of each cylinder:Ch. 12.8 - Find the volume of each cylinder:Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. An...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. If...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.8 - Follow the rules for working with measurements....Ch. 12.8 - Follow the rules for working with measurements. A...Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Follow the rules for working with measurements....Ch. 12.9 - Find a. the volume and b. the lateral surface area...Ch. 12.9 - Find a. the volume and b. the lateral surface area...Ch. 12.9 - A loading chute in a flour mill goes directly into...Ch. 12.9 - The circular tank in Illustration 2 is made of 12...Ch. 12.9 - The nose of an airplane has a right circular cone...Ch. 12.9 - A welder decides to make a pyramid out of flat...Ch. 12.9 - Gravel is piled in the shape of a cone. The...Ch. 12.9 - Find the weight of the display model shown in...Ch. 12.9 - Find the volume of the frustum of the pyramid...Ch. 12.9 - Find the volume and lateral surface area of the...Ch. 12.9 - Find the volume and the lateral surface area of...Ch. 12.9 - Find the volume and the lateral surface area of...Ch. 12.9 - A hopper must be designed to contain plastic resin...Ch. 12.9 - A piece of 1-in. 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The length is...Ch. 12 - The area of a parallelogram is 2.53 cm2. Find its...Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the area and the perimeter of each triangle:Ch. 12 - Find the length of the hypotenuse of each...Ch. 12 - Find the length of the hypotenuse of each...Ch. 12 - Find the measure of the missing angle in...Ch. 12 - In Illustration 3, suppose DEBC. Find length BC....Ch. 12 - Find the area and circumference of the circle in...Ch. 12 - The area of a circle is 462 cm2. Find its radius.Ch. 12 - How many degrees are in a central angle whose arc...Ch. 12 - Change 24.0 to radians.Ch. 12 - Change 18 rad to degrees.Ch. 12 - The radius of a wheel is 75.3 cm. The wheel turns...Ch. 12 - A wheel of diameter 25.8 cm travels a distance of...Ch. 12 - A wheel of radius 16.2 cm turns an angle of 1028....Ch. 12 - For Exercises 2728, see Illustration 5:...Ch. 12 - For Exercises 2728, see Illustration 5:...Ch. 12 - Find the volume of the right circular cylinder...Ch. 12 - A metallurgist needs to cast a molten alloy in the...Ch. 12 - Find a. the lateral surface area and b. the total...Ch. 12 - Find the volume of the pyramid shown in...Ch. 12 - Find a. the volume and b. the lateral surface area...Ch. 12 - Find a. the volume and b. the surface area of the...Ch. 12 - Find the volume and lateral surface area of the...Ch. 12 - An open (no top) rectangular box with length 6.00...Ch. 12 - Find the area of a rectangle 18.0 ft long and 6.00...Ch. 12 - Find the perimeter of a square log 160 m on a...Ch. 12 - Given the trapezoid in Illustration 1, find...Ch. 12 - Given the trapezoid in Illustration 1, find...Ch. 12 - Find the length of a side a in Illustration 2....Ch. 12 - Given a circle of radius 20.0 cm, find its areaCh. 12 - Given a circle of radius 20.0 cm, find its...Ch. 12 - Change 240 to radians.Ch. 12 - Change 74rad to degrees.Ch. 12 - Find the volume of a rectangular box 12.0 ft 8.00...Ch. 12 - Find the total surface of the box in Exercise 10.Ch. 12 - Find the volume of a cylindrical tank 20.0 m in...Ch. 12 - Find a. the volume and b. the lateral surface area...Ch. 12 - Find the volume of the frustum of the cone in...Ch. 12 - A welder is assigned to fabricate the sheet metal...Ch. 12 - Add: 8+(+7)+(3)Ch. 12 - Given P=2(l+w), where l=418 in. and w=234 in.,...Ch. 12 - The mass of full-size automobile is a. 100kg, b....Ch. 12 - Find a. precision and b. greatest possible error:...Ch. 12 - Simplify: 14x256x228x7xCh. 12 - Find the product: (2x2+7x3)(4x+5)Ch. 12 - Solve: 42x=18Ch. 12 - E=mv2; Find m if E=952 and v=7.00.Ch. 12 - A 200-bu wagon holds 3.4 tons of grain. Express...Ch. 12 - A 160-lb object, 28.0 in. from the fulcrum of a...Ch. 12 - Solve for y:5x8y=10Ch. 12 - Find the slope of the line containing the points...Ch. 12 - Solve: 5xy=12y=2xCh. 12 - The sum of the resistance of two resistors is 1300...Ch. 12 - Find each product mentally: (3x5)(2x+7)Ch. 12 - Find each product mentally: (4x3)2Ch. 12 - Factor each expression completely: 5x315xCh. 12 - Factor each expression completely: x23x28Ch. 12 - Factor each expression completely: Solve:...Ch. 12 - Factor each expression completely: Solve: 2x2x=3Ch. 12 - Solve each equation using the quadratic formula...Ch. 12 - Solve each equation using the quadratic formula...Ch. 12 - Draw the graph of y=2x23x2 and label the vertex.Ch. 12 - In Illustration 1, mn and 4=82. Find the measure...Ch. 12 - In Illustration 1, if 4=2x3 and 5=x+6, find the...Ch. 12 - Find the perimeter and area of each triangle:Ch. 12 - Find the perimeter and area of each triangle:Ch. 12 - Find the area and the circumference of the circle...Ch. 12 - The area of a circle is 168cm2. Find its radius.Ch. 12 - Find the volume and total surface area of the...

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