Question

A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b] What is the area of the garden? Use 3.14 for π.

Answer 1

a. 43.96 feet

b.153.86 square feet

Explanation:

Hi, the path through the middle of the circular garden is the diameter.

Since the diameter is equal to:

Diameter = 2 radius (r)

Solving for r

14 =2r

14/2 = r

r = 7 feet

The distance around the outside of this garden is the perimeter.

Perimeter of a circle (P) = 2 π r

Replacing with the values given:

P = 2 (3.14) 7 = 43.96 feet

b. area of the circle-

Area of a circle (A)= π r²

Replacing with the values given:

A = 3.14 (7²) =153.86 square feet