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alizevalentine
alizevalentine alizevalentine
  • 11-03-2015
  • Mathematics
Answered

A circle has an area of 49π square units. What is the diameter?

Verified Answer :

xxsxkim
xxsxkim xxsxkim
  • 11-03-2015

A=πr^2.
49π=πr^2
49=r^2
7=r
d=2r
d=2(7)
d=14

Answer Link
olemakpadu
olemakpadu olemakpadu
  • 11-03-2015

Please allow me to use area of circle as = πd^2 / 4

Therefore  πd^2 / 4  =   49π      Cancel out π from both sides.

d^2 / 4  =   49      Cross Multiply

d^2   =   4*49

d^2   =   196      Take the square root of both sides

d  =  √196            Use your calculator

d  = 14

Hence, diameter of the circle is 14 units.
Cheers.

Answer Link

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