Question

A circular pen has circumference of 77.5 feet. Approximate π to 3.14 and estimate how many sheep could be safely kept in the pen if each sheep needs at least 45 square feet.

Answer 1

10 sheep

Explanation:

First, we have to determine the area of the circular pen.

Area of a circle =
`\pi`
`r^(2)`

But,

Circumference of a circle = 2
`\pi`r

So that,

77.5 = 2 x 3.14 x r

77.5 = 6.28r

r = 12.34

Radius of the pen is 12.34 feet.

Thus,

Area of the pen =
`\pi`
`r^(2)`

= 3.14 x
`(12.34)^(2)`

= 478.15

Area of the pen = 478.15 square feet

Number of sheep that can be safely kept in the pen =
`(478.15)/(45)`

= 10.63

The number of sheep that can be safely kept in the pen is 10.