Question

The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.

Answer 1

Answer:

A = 26 ft²

Step-by-step explanation:

To find the area of a circle, use the formula A = πr²

We know π = 3.14 and C = 18.

Use the circumference to find "r". C = 2πr

C = 2πr

18 = 2(3.14)r

18 = 6.28r

r = 18/6.28        Exact answer

r ≈ 2.866           Rounded to three decimal places

You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.

Substitute π = 3.14 and r = 2.866.

A = πr²

A = (3.14)(2.866)²                  Solve exponents first

A = 3.14(8.213956)                Multiply

A = 25.7918218...                  Unrounded answer

A ≈ 26                                   Rounded to nearest square foot

Add the units back in.

A = 26 ft²