Question

Gale builds a circular pen in his yard for his dog. The pen has a radius of 10 ft. There is a law in Gale's town which states that all dogs must have at least 300 ft2 of room in their pen. Does Gales' pen meet the standards? A) No. A = 62.8 ft2 B) No. A = 98.596 ft2 C) Yes. A = 314 ft2 D) Yes. A = 985.96 ft2 Eliminate

Answer 1

Given:
Circular pen with radius of 10ft.
At least 300ft² of room in their pen.

We need to look for the Area of the circle.

Area of the circle = π r²
A = 3.14 * (10ft)²
A = 3.14 * 100ft²
A = 314ft²

Standard is 300ft². Gale's areais 314ft². It exceeded the standard area by 14ft².

Answer is: C.) YES, A = 314 ft²