Question

Find the area of the shade sector of the circle

Answer 1

Explanation:

We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.

`\tt\to Area = (\Theta)/(360^o)* \pi r^2 \\\\\tt\to Area = (60^o)/(360^o)* \pi (8cm)^2 \\\\\tt\to Area =(\pi * 64)/(6)cm^2\\\\\to\boxed{\orange{\tt Area_((Shaded))= 10.66\pi cm^2}}`