Question

Find the area of the shaded sector of the circle. Leave in terms of pi.

Answer 1

Answer:

$a=10.88\pi$

Step-by-step explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

$\frac{20}{360} =\frac{a}{\pi r^2} \\ \frac{1}{18} =\frac{a}{\pi 14^2}$

$\frac{1}{18} =\frac{a}{196\pi}$

$a=\frac{1*196\pi}{18} \\a=1*10.88\pi\\a=10.88\pi$