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

The total area of the logo shaded orange or blue is 66 inches^2

Step-by-step explanation:

To calculate the area shaded orange or blue, we use the formula that calculates the area of a sector since we know the angle subtended at the centre of the circle by way of the colors

Mathematically, the formula to use is;

A = θ/360 * π * r^2

where θ represents the angle subtended at the center and r is the radius of the circle.

For the sector shaded orange, the area will be

A = 50/360 * 22/7 * 6^2 = 110/7 inches^2

For the sector shaded blue, the area will be

A = 160/360 * 22/7 * 6^2 = 352/7 inches^2

The total area shaded orange or blue is thus the addition of both areas which is mathematically equal to 352/7 + 110/7 = 462/7 = 66 inches^2