Question

A circular logo has a 50 degree sector shaded orange and a 160 degree sector shaded blue. The radius of the logo is 6 inches. What is the total area shaded orange or blue?

Answer 1

Answer:

21πin²

Step-by-step explanation:

Area of a sector is given as $\frac{\theta}{360} *\pi r^{2}$

r is the radius of the sector

theta is the angle substended by the sector

For the sector shaded orange, its area is expressed as;

$\frac{50}{360}*\pi 6^{2}\\ = 5\pi in^{2}$

For the sector shaded blue, the area is expressed as;

$= \frac{160}{360} *\pi (6)^{2} \\= 16\pi in ^{2}$

Total area shaded orange or blue = area of the sector shaded orange + area of the sector shaded blue

= 5πin²+16πin²

= 21πin²

Answer 2

Answer:

65.94in^2

I did this and that was the right answer