Question

A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside the pit with sand. The homeowner has decided to build the pit with a diameter of 3 feet. In order to know how many bricks to buy, the homeowner must know the distance around the outside of the pit. Calculate both the exact distance and the approximate distance. In order to know how much sand to buy, the homeowner must know how much space needs to be covered inside the pit. Calculate both the exact area and the approximate area.

Answer 1

Answer:

Exact Circumference = 3π feet

Approximate Circumference = 9.42 feet

Exact Area = 2.25 π ft²

Approximate Area = 7.07 ft²

Step-by-step explanation:

Diameter = d = 3 feet

Radius = r = 1.5 feet

Circumference:

Outline of the pit is the circumference.

=> Circumference = $\pi d$

Where d = 3 feet

=> Exact Circumference = 3π feet

=> Approximate Circumference = 9.42 feet

Area:

Area of Circle = πr²

Area = π(1.5)²

Exact Area = 2.25 π ft²

Approximate Area = 7.07 ft²