Question

In the figure below, the right circular cone has a radius of 2 and height of 2 square root of 3.
Find the lateral area.

Answer 1

The equation for lateral area is: 1/2 [( Pi x D) x Slant height) where D is diameter.
We need to then find the slant height of the cone, which is a right triangle.
\[2^2+(2\sqrt3)^2=L^2\]
L= 4
So \[.5*(\pi*2)*4=A\]
A=12.56

Answer 2

the answer choices are
8pi
\[4\sqrt{3}\]\[8\sqrt{3}\]pi (this is after 8 square root of 3)
and
\[8\sqrt{3}\] pi over 3.