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6. What is the area of a circle that has a circumference of 42 inches? A. 141.03 in2 B. 21.04 in2 C. 126.60 in2 D. 132.62 in2

User Riha
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2 Answers

2 votes
A = C²/(4π) ≈ 140.375 . . . . in²

Selection A looks to be the closest. It appears to have been calculated using some erroneous procedure (a wrong π value, or rounding intermediate results, for example.)
User Iperelivskiy
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1 vote
Answer:
area of circle = 141.03 in²

Step-by-step explanation:
First, we will need to get the radius as follows:
circumference = 2πr
We have:
circumference = 42 in
π = 3.14
Therefore:
circumference = 2πr
42 = 2 * π * r
radius = 6.7 in

Then, we will get the area as follows:
area = πr²
area = π * (6.7)²
area = 141.03 in²

Hope this helps :)
User Zhuziyi
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5.3k points