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Chapter 7: Problem 2

For each of the following problems, draw and label a circle representing the given description. Then, use the circumference formulas to calculate each circumference. Use \(\pi\) on your calculator and round your answers to the nearest hundredth. a. The radius of the circle is 8 miles. b. The diameter of the circle is 10 meters. c. The radius of the circle is 3 inches.

Short Answer

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Question: Calculate the circumference of each circle and round the answer to the nearest hundredth. a) The radius of the circle is 8 miles. b) The diameter of the circle is 10 meters. c) The radius of the circle is 3 inches.

Step by step solution

01

a) The radius of the circle is 8 miles.

Draw a circle and label the center as "O" and any point on it as "A". Mark the distance from O to A as 8 miles. To find the circumference of the circle, use the circumference formula: C = 2 * 蟺 * r where C is the circumference, and r is the radius length. C = 2 * 蟺 * 8 Now use a calculator to find the value: C 鈮� 50.27 miles (rounded to the nearest hundredth)
02

b) The diameter of the circle is 10 meters.

Draw a circle and label the center as "O" and any two points on it as "A" and "B". Mark the distance from A to B (passing through O) as 10 meters. Since the diameter is given, we first need to find the radius. The radius is half the diameter, so: r = Diameter/2 = 10/2 = 5 meters To find the circumference of the circle, use the circumference formula: C = 2 * 蟺 * r C = 2 * 蟺 * 5 Now use a calculator to find the value: C 鈮� 31.42 meters (rounded to the nearest hundredth)
03

c) The radius of the circle is 3 inches.

Draw a circle and label the center as "O" and any point on it as "A". Mark the distance from O to A as 3 inches. To find the circumference of the circle, use the circumference formula: C = 2 * 蟺 * r C = 2 * 蟺 * 3 Now use a calculator to find the value: C 鈮� 18.85 inches (rounded to the nearest hundredth)

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