Question

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If necessary, round the answer to two decimal places.
r = 14 feet, A = 69 square feet, θ = ?

Answer 1

Q1
r = (2A/θ)^.5 = ((14/(1/8))^.5 = 10.583 ft <--------

q2
θ = 2A/r^2 = 2*3/7^2 = .122 rad <--------

Answer 2

Here, θ/360 * πr² = 69
θ/360 * 3.14 * (14)² = 69
θ/360 * 615.75 = 69
θ = 69*615.75 /360
θ = 40.36

In short, Your Answer would be 40.36 degrees

Hope this helps!