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The area of a circle is 301.84 cm\(^2\). Find its circumference. Use π = 3.14. Round all values to the nearest tenth.

A. 19.4 cm
B. 31.6 cm
C. 56.7 cm
D. 62.8 cm

Answer :

Final answer:

To find the circumference of a circle given its area, we can use the formula C = 2πr. By substituting the given area into the formula A = πr², we can solve for the radius and then calculate the circumference. Hence the correct answer is option C.

Explanation:

To find the circumference of a circle, we can use the formula C = 2πr, where π is approximately 3.14 and r is the radius of the circle.

Given that the area of the circle is 301.84 cm², we can use the formula A = πr² to find the radius.

Substituting the values, we have 301.84 = 3.14 * r². Solving for r, we find r = √(301.84 / 3.14) ≈ 9.0 cm. Finally, substituting the radius into the circumference formula, we get C = 2π * 9.0 = 56.7 cm.

Hence the correct answer is option C

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