Wednesday, July 9, 2014

Find the circumference of a circular disk whose area is 100pi square centimeters.

The area of a circular disk with radius r is given by pi*r^2,
wher pi  is the ratio of the circumference to the diameter of the
circle.


The actual area of the disk is 100pi sq
cm


Therefore pr^2 = 100pi sq
cm


Therefore r ^2 = 100 sq cm. So r = sqrt100 = 10
cm.


So the radius of the disk is 10
cm.


The circumference c of the circular disk is given
by:


c = 2pir.


Therefore c = 2p*10 cm =
20pi.


Therefore the circumference of the disk = 20
pi.

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