Question

The distance around a circular park is 88 yards. What is the area of the park?

Answer 1

C = 3.14 x 2r

88 = 3.14 x 2r

28 = 2r

14 = r

A = 3.14 x r^2

A = 3.14 x 14^2

A = 615

Answer 2

Answer:

A =  617 yd², to the nearest yard

That distance is called the "circumference," and its formula is C = 2πr.

We need r to find the area of the park.  So we solve C = 2πr for r:

          C

r   = -------    

        2π

Substituting 88 yd for C, we get r = (88 yd) / (6.28) = 14.01 yd

The formula for the area of this circular park is A = πr².

Here, r = 14.01 yd, so the area of this park is:

A = π(14.01 yd)² = 3.14(196.36 yd²) = 617 yd², to the nearest yard.