Question

A circle has an area of 62.9 square inches. What is the radius of the circle?

Round to the nearest tenth.

Answer 1

The radius is 11.365.

Answer 2

4.5 inches = r

Explanation:

The area of a circle is given by

A = pi r^2

62.9 = pi r^2

We can approximate pi by 3.14

62.9 = 3.14 r^2

divide each side by 3.14

62.9 /3.14 = 3.14 / 3.14 r^2

20.03184713 = r^2

Take the square root of each side

sqrt(20.03184713) = sqrt(r^2)

4.475695156 =r

Rounding to the nearest tenth

4.5 inches = r