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 =
`(degree)/(360) \pi r^(2)`

In this case:

Degree = 30

Radius = 6

^^^Plug these numbers into the formula given above

A =
`(30)/(360) \pi 6^(2)`

Solve

A =
`(1)/(12)`π6²

A =
`(1)/(12)`π36

A =
`(36)/(12)\pi`

A = 3π

^^^This is the area of the sector

Hope this helped!

~Just a girl in love with Shawn Mendes