Friday, August 23, 2013

Find the area of the circle whose circumference is 14.

Given the circumference of a circle =
14.


We need to find the area of the
circle.


We know that the formula for the area of a circle
is given by:


A = r^2 * pi  where r is the radius of the
circle.


Then, we need to determine the
radius.


But, w given the circumference =
14.


We know that the circumference of a circle is given
by:


C = 2*r * pi


-->
2*r*pi = 14


==> r= 14/2pi =
7/pi.


Now we will substitute into
A.


A = r^2 * pi


   = (7/pi)^2
* pi = 49/pi^2 * pi = 49/pi.


Then, the area
of the circle is A = 49/pi = 15.6 ( approx.)

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