Question

Find the area of the blue sector(s). The diameter is 14.

Answer 1

The area of the entire circle is pi*(7)^2, or 49pi.

Due to the 90 degree angle, the area of the larger blue sector is

90

------- * 49 pi = 49/4 units^2

360

The area of the smaller blue sector is

48

------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2

360

The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):

59 units^2