Question

Find the circumstances of a circle that has an area of 452.16 square feet

a) 37.6992 meters
b) 24 meters
c) 75.3984 meters
d) 12 meters

Answer 1

To find circumstancial circumference we need to find the radius which by circumstance is:

Area of a circle:

`a = \pi {r}^(2)`

Area of circle, moved around so r is by itself:

`r = \sqrt{ (a)/(\pi) }`

Plugging in the numbers:

`r = \sqrt{ (456.16)/(\pi) } \\ r = 12.05`

We have found the radius. Now we plug our radius into the circumference formula:

Circumstance Formula:

`c = 2 * \pi * r`

Plugging in our numbers:

`c = 2 * \pi * 12.05 \\ c = 75.71ft`

Notice, all of the answers are in meters. We will need to convert our circumference in feet (75.71 ft) to meters to get the correct answer.


`1 \: meter = 3.28 \: ft`

`75.71 \: ft * (1m)/(3.28 \: ft) = (75.71)/(3.28) = 23.08m`

The correct answer should be B.