If an equilateral triangle is circumscribed about a circle of radius 20 cm, determine the side of the triangle in cm.Round off to 2 decimal places

Q: Find the length of the arc of a circle with radius 24 cm that subtends a central angle of 24°.

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Q: Calculate the shaded area if the radius of the circle is 4.4 cm.

A: Subtract area of triangle from circle area

Q: if the length of the minor arc is 3cm and the radius is 10cm, calculate the angle at the center of…

A: Here we have to find the angle at the center of the circle of radius 10cm and by an arc length of…

Q: Find the length of a 35° arc of a circle whose radius is 8 cm.

A: If the central angle is in degree, the arc length of the circle is obtained using the formula  Arc…

Q: Find the area of the sector of a circle with radius 9 inches formed by a central angle of 10°:

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Q: What is the radius of a circle that has a circumference of 21 pi π?

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Q: The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to…

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Q: This is a right triangle with dimensions in centimeters. If θ = 41∘, what is the length of x to the…

A: Given: A right angle triangle with the length of hypotenuse 33 cm and θ=41°. Aim: To find the…

Q: if the radius of a circle is 10 feet, how long is the arc subtended by an angle of 81degrees

A: Given : Radius r = 10 feet Angle = 810

Q: On a map, the coordinates for Phoenix are (– 12, – 16) and those for Miami are (6, 8), specified in…

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Q: If the sector formed by a central angle of 45° has an area of π/2 square centimeters, find the…

A: Given for sector of circle, angle, θ=45° area of sector =π2cm2. We have to find the radius of…

Q: Find the length of an arc that has a 277° measure and is in a circle whose diameter is 16. Let pi =…

A: angle = arc/radius

Q: In a circle of radius 3, the length of the arc that subtends a central angle of 224 degrees is Round…

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Q: Confirm that the circumference of a circle of radius a is 2pa.

A: Given: Consider a radius of a circle is a. r=a

Q: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the…

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Q: Find the area of a triangle having two sides of lengths 8 meters and 12 meters and an included angle…

A: Triangle: Length of two sides of a triangle are 8m and 12m. The included angle is 1350 Let a=12m…

Q: What are the side lengths of this triangle rounded to the nearest tenth?

A: The given triangle ABC is right angled triangle, so we apply trigonometric ratios to find the length…

Q: Draw segments that divide an obtuse triangle into acute triangles

A: Let us consider obtuse triangle as shown in figure below

Q: If a right triangle has two legs which have measuments of 12 inches and 14 inches, the length of the…

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Q: Find the length of the common chord of two circles of radil 25 inches and 26 inches, respectively,…

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Q: On a circle of radius 8 feet, what angle would subtend an arc of length 5 feet?

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Q: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends…

A: It is given that, distance between earth and sun is 93 million miles and from the earth the moon is…

Q: Find the area of a sector of a circle with central angle of 108° if the radius of the circle is…

A: We have to find area of a sector of the circle where angle made by an arc at the center is 108° and…

Q: If the radius of the circle below is 12 feet, find the area of the shaded region

A: given,

Q: An isoscelese triangle has a base with length 17 inches and two congruent sides with lengths of 12…

A: Given   An isosceles triangle has a base with length 17 inches and two congruent sides of 12 inches…

Q: Find the area of a sector of a circle with radius 6 cm if angle of the sector is 600

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Q: If the height of a cone is 15 cm and its volume is 770 cu.cm; find the radius of its base

A: Consider that the volume of cone of height 15 cm is 770 cm3.  Find the radius of its base.   Volume…

Q: A circle has a radius of 21 millimeters. What is the length of the arc intercepted by a central…

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Q: The diameter of the base of a right circular cone is equal in length to the slant height. If the…

A: Let h be height of cone , l be the slant height of cone and r be radius of cone.  Given that, the…

Q: If the diameter of the moon is 3475 km and an orbiting lunar station is circling 25 km above the…

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Q: Find the radius of a circle with an arc length of 4 feet that subtends a central angle by 125°

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Q: The area of circle P equals 12 square units and area of sector APD equals 4 square units. Based on…

A: We have been given that the area of a circle with a radius r is 12 square units and the area of a…

Q: This is a right triangle with dimensions in inches. If θ = 56∘ , what is the length of x to the…

A: The given triangle is as follows:

Q: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends…

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Q: If the minute hand of a clock has a length of 6 inches, how far does its tip travel in 18 minutes?

A: The minute hand of a clock has a length of 6 inches

Q: Show that one slice of an 18-inch pizza is larger than two slices of a 12-inch pizza. The solution…

A: To Prove: 'one slice' of an 18-inch pizza is larger than 'two slices' of a 12-inch pizza.

Q: At 3 PM on March 14th, A person who is 5 ft casts an 8 ft shadow that ends at the same point where a…

A: explained in the 2nd step to see complete solution please visit 2nd step

Q: If the measure of a minor arc of a is 86 degrees, then what is the measurement of its corresponding…

A: Degree measure of a minor arc is defined as  the measure of its corresponding central angle.  Degree…

Q: Find the area of the sector of a circle if radius 3 cm formed by an angle of 60°.

A: Deduce a relation between the area of a circle and area for the given sector.Area of a circle is A =…

Q: If the central angle of a circle measures 80°, and the arc length is 10cm, what is the length of the…

A: Note that : Let circumference of circle be 2πr where r is radius of circle.

Q: A scale drawing is to be made of the floor of a rectangular room whose dimensions are 72 feet by 40…

A: The perimeter of a rectangle is calculated using the formula: P=2l+w, where, l, w are the length,…

Q: Find the radius of a circle having a circumference of 16 inches.

A: Given the radius of the circle is 16 inches. We need to calculate the circumference of the circle.

Q: What is the radius of a circle if a central angle of 20° subtends an arc of length 10 inches?

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Q: Find the radius of the circle whose area is 100 cm2

A: GIVEN ,AREA OF CIRCLE , A = 100cm2

Q: If a circle has radius 10 cm, find the length of the arc subtended by a central angle of 72

A: To find the length of the arc subtended by a central angle of 72.

Q: Calculate the angle of a circular sector having an area equal to 1/8 of the area of ​​the circle

A: Lets assume radius of a circle is r. So area of a circle Ac=πr2 And area of a sector As=πr2θ360 Need…

Q: What is the length of the arc with a measure of 100° in a circle with a radius of 15 inches?

A: Given that angle is 100° and radius is 15 inches . Find length of arc.

Q: A circle has a radius of 20 centimeters and a central angle that measures 216 degrees.  What is the…

A: we have to find the length of the arc

Q: 3. What is the radius of the circle whose central angle of 225° subtends an arc of 41 cm?

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