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

Answer:

1.25π

Step-by-step explanation:

Hello There!

The area of a sector can be found using this formula

$A=\frac{0}{360} \pi r^{2}$

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...

$A=\frac{50}{360} \pi 3^{2} \\3^{2}=9 \\\frac{50}{360} 9=1.25$

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