144k views
4 votes
The dog spa in Champlin has an outside play area. Each play area is in

the shape of a circle and divided into four equal sections with a radius of
18 feet long. The spa wants to install fake grass that will cost $12.50 per
square foot. How much will it cost to put fake grass in only one of the four
play areas?

User ANemati
by
4.7k points

1 Answer

4 votes

Answer: $12,723.45

Explanation:

Details of each play area :

The radius of circle = 18 feet long

Cost of fake grass per square foot = $12.50

Therefore,

We can obtain the Area of the play area by calculating the area of the circle:

Area of a circle = πr^2

Area = π × 18^2

Area = 1,017.876ft^2

Since the cost per square foot is $12.50

Therefore, Cost of 1,017.876 ft^2 equals

Cost per square foot × Area of play area

($12.50 × 1,017.876)

= $12,723.45

User Brittany
by
5.3k points