Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.

We know that
[the lateral area of a right circular cone]=pi*r*l
where
r> the radius of the circle part of the cone
l> the side (slant height) of the cone
r=6 ft
h=8 ft
Step 1
find the slant height of the cone
which is determined by using Pythagoras, since the cross section is a right triangle.

l² = h²+ r²> l²=8²+6²>  l²=64+36> l=10 ft

Step 2
find the lateral area
[the lateral area of a right circular cone]=pi*r*l> pi*6*10> 188.4 ft²

the answer is 188.4 ft²

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