Problem

11:36 AM Mon 12 Jun
Mariam Ahmed's practice
V.4 Area and circumference of circles
The area of a circle is 0.5024 square inches. What is the circle's circumference?
Use 3.14 for π and round your answer to the nearest hundredth.
inches

Answer

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Answer

Round the circumference to the nearest hundredth: 2.51 inches.

Steps

Step 1 :Given the area of the circle as 0.5024 square inches, we can use the formula for the area of a circle to find the radius: Area=πr2.

Step 2 :Substitute the given area and π=3.14 into the formula: 0.5024=3.14r2.

Step 3 :Solve for the radius (r): r0.4 inches.

Step 4 :Next, use the formula for the circumference of a circle: Circumference=2πr.

Step 5 :Substitute the radius and π=3.14 into the formula: Circumference=2(3.14)(0.4).

Step 6 :Calculate the circumference: Circumference2.512 inches.

Step 7 :Round the circumference to the nearest hundredth: 2.51 inches.

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