Question

Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.) A. 37.6992 meters B. 24 meters C. 75.3984 meters D. 12 meters

Answer 1

Answer: C. 75.3984 meters

Explanation:

The area of a circle is given by :-

`A=\pi r^2`, where r is radius of a circle.

Given : The area of circle = 452.16 square meters

`\Rightarrow\ \pi r^2 = 452.16\\\\\Rightarrow\ r^2=(452.16)/(\pi)=(452.16)/(3.1416)\approx143.9267\\\\\rightarrow\ r=√(143.9267)=11.9969454446\approx12`

Circumference of circle is given by :-

`C=2\pi r\\\\\Rightarrow\ C=2(3.1416)(12)=75.3984`

Hence, the circumference of a circle = 75.3984 meters

Answer 2

Option C

Explanation:

Given that area of a circle = 452.16 sq metres

Hence radius =
`\sqrt{(452.16)/(3.1416) } =11.9969 m`

After rounding off we get radius = 12metres

To find circumference

We know that circumference of a circle = 2pir

=
`2(3.1416)(11.99694)=75.3984 m`

Option C is right

Option D is right