Question

2. If a circle has an area of 200.96 cm what is its circumference? Round your answer to the nearest hundredth.

62.52 cm
31.18 cm
50.24 cm
87.41 cm

Answer 1

50.24

Explanation:

The formula to find the circumference of a circle is:

C = 2πr

where r is the radius of the circle and π is approximately 3.14159.

To find the radius of the circle, we can use the formula:

A = πr^2

where A is the area of the circle.

Substituting the given value of A, we get:

200.96 = πr^2

Solving for r, we get:

r = √(200.96 / π)

r ≈ 8.00

Now we can use the formula for the circumference of the circle:

C = 2πr

C ≈ 50.24

Rounding to the nearest hundredth, the circumference of the circle is approximately 50.24 cm.