The formula for the area of a sector is given by:
Area of sector = (θ/360) * π * r²
Where θ is the central angle in degrees and r is the radius.
We can rearrange the formula to solve for θ:
θ = (360 * Area of sector) / (π * r²)
Plugging in the given values:
θ = (360 * 110.60) / (π * (10.82)²)
θ ≈ 102.8 degrees
Therefore, the measure of the central angle rounded to the nearest tenth is 102.8 degrees.
The area of a sector is 110.60 sq yd and the radius of the sector is 10.82 yd. What is the measure of the central angle rounded to the nearest tenth?
1 answer