Question 966649
the area of a sector is equal to x / 360 * pi * r^2.


your area is 15 square cm.


your radius is equal to 7 cm.


the formula becomes 15 square cm = x / 360 * pi * 7^2


solve for x to get x = 15 * 360 / pi / 7^2 which becomes x = 35.07904868 degrees.


to see if that's correct, go back to the original formula and replace x with 35.07904868 and solve for the area to see is you get 15 square cm.


the formula is:


A = x/360 * pi * r^2


x = 35.07904868
r = 7
r^2 = 49


formula becomes A = (35.07904868 / 360) * pi * 49


solve for A to get A = 15.


solution is confirmed as good.


angle = 35.07904868 degrees.