Question

-50 Points- Find the area of the smaller sector. Leave your answer in terms of pi.

Answer 1

Area of a sector of a circle is (Angle of Sector/360°)*πr^2

If you plug in the given values, you get (30°/360°)*36π

Simplify the equation.
(1/12)*36π

Simplify the equation again and you get your answer.
Area = 3π

Answer 2

The formula to find the area of a sector is:

A = $\frac{degree}{360} \pi r^{2}$

In this case:

Degree = 30

Radius = 6

^^^Plug these numbers into the formula given above

A = $\frac{30}{360} \pi 6^{2}$

Solve

A = $\frac{1}{12}$π6²

A = $\frac{1}{12}$π36

A = $\frac{36}{12}\pi$

A = 3π

^^^This is the area of the sector

Hope this helped!

~Just a girl in love with Shawn Mendes