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tatyana61 [14]
2 years ago
10

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
Mathematics
2 answers:
Leto [7]2 years ago
5 0

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

Minchanka [31]2 years ago
5 0

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

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