Question

The circle has center 0. Its radius is 3 ft, and the central angle a measures 50% What is the area of the shaded region?

Give the exact answer in terms of 7, and be sure to include the correct unit in your answer.

Answer 1

1.25π

Explanation:

Hello There!

The area of a sector can be found using this formula

`A=(0)/(360) \pi r^(2)`

where 0 = angle and r = radius

so given the measures r = 3 and 0 = 50 all we have to do is plug in the values into the formula

so...

`A=(50)/(360) \pi 3^(2) \\3^(2)=9 \\(50)/(360) 9=1.25`

so the area of the sector = 1.25π

Note: it says to leave your answer in terms of pi so we do not have to apply pi