# The area of a sector is 52 in2. If the radius is 10 in, what is the measure of the angle of the sector?

## Question

## Solution 1

The formula for the area of a sector is given by:

Area = (θ/360) * π * r²

where: θ is the angle of the sector, r is the radius of the circle.

Given that the area is 52 in² and the radius is 10 in, we can substitute these values into the formula and solve for θ:

52 = (θ/360) * π * 10²

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