alizevalentine alizevalentine

11-03-2015
Mathematics

Answered

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

Answer :

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

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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