What is the area of a circle that has a circumference of 42 inches? A. 140.4 in2 B. 126.60 in2 C. 132.62 in2 D. 21.04 in2

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22-05-2018
Mathematics

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What is the area of a circle that has a circumference of 42 inches? A. 140.4 in2 B. 126.60 in2 C. 132.62 in2 D. 21.04 in2

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tramserran tramserran · Answer 1 · 2018-05-22T21:26:25+02:00

tramserran tramserran

22-05-2018

Circumference = 2 [tex] \pi [/tex] r
   42 = 2 [tex] \pi [/tex] r
42/(2 [tex] \pi [/tex]) = r
21/[tex] \pi [/tex] = r

Area = [tex] \pi [/tex] r²
   = [tex] \pi [/tex] (21/[tex] \pi [/tex])²
   = 21²/[tex] \pi [/tex]
   = 140.37
   ≈ 140.4

Answer: A

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