ceracrockett275 ceracrockett275
  • 22-05-2018
  • Mathematics
contestada

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 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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