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AREA OF CIRCLE

which of these is a good estimate for the area of a circle with a circumference of 60 cm.



AREA OF CIRCLE which of these is a good estimate for the area of a circle with a circumference-example-1
User Ken You
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2 Answers

16 votes
16 votes
A should be the answer your looking for in this equation
User Eruiz
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21 votes
21 votes

Answer:

A. 300 cm²

Explanation:

Remember the formulae for the area A and circumference C of a circle:

A = r² π

C = 2π r

If we do the famous old engineering trick and just take π to be more or less equal to 3, we can easily find r:

C = 60 ≈ 2·3 r

⇒ r = 60/6 ≈ 10 [cm]

Then, using the same approximation for pi in the formula for area, we can find that:

A ≈ r²·3 = 10²·3 = 100·3 = 300

⇒ A ≈ 300 [cm²]

(The ≈ symbol pretty much means "is approximately equal to" by the way)

User Xin Meng
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