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

Mathematics

1 answer:

pav-90 [236]2 years ago

5 0

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

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

360

The area of the smaller blue sector is

------- 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

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