If A denotes the area of the sector of a circle of radius r formed by the central angle 0, find the missing quantity. If necessary, round the answer to two decimal places

Question

r= 18 feet, A= 47 square feet, 0=?

Answer 1

the area of the entire circle is pi(18)^2 So the pet tent of the circle taken up by the sector with an area of 47is

47/324pi

the entire circle is 360 degrees so the central angle is the prior percent of the circle times 360 degrees

(47)(360)/324pi.=. 16.62degrees

Answer 2

For a central angle Θ measured in rads, the area of a sector is given by the formula K = (1/2)r²Θ.

In this question we are given values for r and K, so substitute those into the formula above and solve for Θ.

Your answer will be an "ugly" decimal between 0 and 1 that you will need to round.