What is the area of a circle with a circumference of 56.52 inches (in.)? Use 3.14 forimage.

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Answer 1 · 2018-06-05T17:11:18

#~~254 "in"^2#

#C_"circle" = 2pir#

#56.52= 2pir#

#28.26=pir#

#r=28.26/pi~~8.995#

#A_"circle" = pir^2#

#A_"circle" = pi(8.995)^2~~254.19#

We can combine the formulas:

#C = 2pir#

#C/(2pi) = r#

#A = pi(C/(2pi))^2#

#A = piC^2/(4pi^2)#

Now we have a formula for the area of a circle of any given circumference:

#A = C^2/(4pi)#

#C=56.52#

#A = 56.52^2/(4pi) ~~254.19#

Answer 2 · 2018-06-05T19:42:22

#254.34 "in"^2#

#:."circumference of a circle"=2pir#

#:.2pir=56.52"in"#

#:.r=56.52/(2pi)#

#:.r=56052/(2 xx3.14)#

#:.r=56.52/6.28#

#:.r=9#

#:."Area of a circle"= pi r^2#

#:.A=3.14 xx9^2#

#:.A=254.34"in"^2#