How do you find the area of the cross section of a sphere formed by a plane intersecting the sphere at an equator, if the radius of the sphere is 11 inches?

1 Answer
Shwetank Mauria
Oct 18, 2016

The area of the cross section is #380.134# square inches

Explanation:

The cross section, of a sphere formed by a plane intersecting the sphere at an equator, is a circle of the same radius as that of the sphere itself (as may be seen from picture below).

enter image source here

Hence, the area of the cross section is

#pir^2=pixx11^2=121pi#

= #121xx3.1416#

#~=380.134# square inches.

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