Question
What is the area of the sector of a circle with θ=216° and a radius of 7 inches? Express your answer in terms of pi.
Answers
GPT 3.5
To find the area of the sector of a circle, you can use the formula:
Area = (θ/360) * π * r^2
where θ is the central angle in degrees, r is the radius of the circle.
Plugging in the values given:
Area = (216/360) * π * (7)^2
Area = (0.6) * π * 49
Area = 29.4π
Therefore, the area of the sector of a circle with a central angle of 216° and a radius of 7 inches is 29.4π square inches.
Area = (θ/360) * π * r^2
where θ is the central angle in degrees, r is the radius of the circle.
Plugging in the values given:
Area = (216/360) * π * (7)^2
Area = (0.6) * π * 49
Area = 29.4π
Therefore, the area of the sector of a circle with a central angle of 216° and a radius of 7 inches is 29.4π square inches.