How do you find the circumference of a circle whose area is #60picm^2#?

1 Answer
Jim G.
Nov 11, 2016

#≈48.669" cm"#

Explanation:

We require to make use of the following #color(blue)"circle formulae"# for the area (A) and circumference (C) of a circle.

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(A=pir^2" and " C =2pir)color(white)(2/2)|)))#

Here A = #60pi#

#rArrpir^2=60pi#

divide both sides by #pi#

#(cancel(pi) r^2)/cancel(pi)=(60 cancel(pi))/cancel(pi)#

#rArrr^2=60rArrr=sqrt60#

Then #C=2pir=2pixxsqrt60≈48.669 " to 3 decimal places"#

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