actorjordan1214
actorjordan1214 actorjordan1214
  • 28-10-2019
  • Mathematics
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A triangle is placed in a semicircle with a radius of 2 ft, as shown below. Find the area of the shaded region.

A triangle is placed in a semicircle with a radius of 2 ft as shown below Find the area of the shaded region class=

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musiclover10045
musiclover10045 musiclover10045
  • 28-10-2019

Area of a circle is PI x r^2

Area of full circle = PI x 2^2 = 3.14 x 4 = 12.56

A semicircle is half a circle.

Area of the semi circle = 12.56 / 2 = 6.28 square feet.

Area of a triangle is 1/2 x base x height.

Area of triangle = 1/2 x 4 x 2 = 4 square feet.

Area of shaded region = area of semi circle - area of triangle:

Area of shaded region = 6.28 - 4 = 2.28 square feet.

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