Question

How do you find the area of a sector? Explain two methods.

Answer 1

One way is to find the area of the circle and then to multiply that by \[\frac{ \theta }{ 2 }\]assuming that you're working in radians.

I'm not entirely sure about a second method, though- I haven't done any geometry in a long while!

Answer 2

Oops- that should be divided by 2 * Pi, not just 2.

Answer 3

if an area of a circle is:
\[A=\pi*r^2\]
and the total angle of a circle is 2pi
then area of a sector would be
\[A = \frac {\theta}{(2)\pi} ( \pi ) r^2 = \frac {\theta}{2}r^2\]

Answer 4

thanks! this helps alot!