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Elementary Technical Mathematics

12th Edition
Dale Ewen
Publisher: Cengage Learning
ISBN: 9781337630580

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BuyFindarrow_forward

Elementary Technical Mathematics

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.

Chapter 12.5, Problem 29E, In Illustration 5, find the area of the rectangular piece of metal after the two circles are

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,

Elementary Technical Mathematics, Chapter 12.5, Problem 29E

Explanation of Solution

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,

A=πr2orA=πd24

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,

A=l×w

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,

A=πd24=π(20.00cm)24=100πcm2

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

A=πd24=π(14.00cm)24=49πcm2

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

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Chapter 12 Solutions

Elementary Technical Mathematics
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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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