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:

Option C

Step-by-step explanation:

Given that area of a circle = 452.16 sq metres

Hence radius = $\sqrt{\frac{452.16}{3.1416} } =11.9969 m$

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

Answer 2

Answer: C. 75.3984 meters

Step-by-step 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

$\Rightarrow\ \pi r^2 = 452.16\\\\\Rightarrow\ r^2=\dfrac{452.16}{\pi}=\dfrac{452.16}{3.1416}\approx143.9267\\\\\rightarrow\ r=\sqrt{143.9267}=11.9969454446\approx12$

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