Using the formula for the area of a sector, solve for the area of a sector with an angle of 135° and a radius of 13 in.

Answer 1

The formula for the area of a sector is:

Area = (θ/360) * π * r^2

Given that the angle (θ) is 135° and the radius (r) is 13 in, we can plug in these values into the formula and solve for the area:

Area = (135/360) * π * 13^2
Area = (0.375) * π * 169
Area = 63.0635 square inches

Therefore, the area of the sector with an angle of 135° and a radius of 13 in is approximately 63.0635 square inches.