IsabellaGracie
IsabellaGracie IsabellaGracie
  • 28-01-2019
  • Mathematics
contestada

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Find the area of the shaded regions Give your answer as a completely simplified exact value in terms of π no approximations class=

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musiclover10045
musiclover10045 musiclover10045
  • 28-01-2019

The small circle has a radius of 3 cm, the large circle has a radius of 7cm ( 4+3),


The area of the small circle is PI x r^2 = PI x 3^2 = 9PI square cm.

The area of the large circle is: PI x 7^2 = 49PI

Both segments of the circle from A to C is 120 degrees, which is 1/3 the area of the complete circle.


1/3 the area of the large circle = 49PI / 3 = 16.333PI

1/3 the area of the small circle  = 9PI / 3 = 3PI


The shaded area = 16.33PI - 3PI = 13.33PI

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