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How do you find the area of the shaded region?

 May 28, 2016

Best Answer 

 #1
avatar+36923 
+15

First find the area of the SECTOR of the circle.....

  Then SUBTRACT the area of the TRIANGLE....

 

r= 11km     Area of CIRCLE = pi x r^2 = 3.14 x 11^2 = 380.132 sq km

Area of SECTOR =   60/360  x  380.132 = 63.355 sq km

Area of triangle = (equalateral triangle) = A = (sqrt3)/4  x 11^2 = 52.395 sq km

 

Area Sector - Area Triangle = area segemnt =      63.355 - 52.395 = 10.96 sq km

 May 29, 2016
 #1
avatar+36923 
+15
Best Answer

First find the area of the SECTOR of the circle.....

  Then SUBTRACT the area of the TRIANGLE....

 

r= 11km     Area of CIRCLE = pi x r^2 = 3.14 x 11^2 = 380.132 sq km

Area of SECTOR =   60/360  x  380.132 = 63.355 sq km

Area of triangle = (equalateral triangle) = A = (sqrt3)/4  x 11^2 = 52.395 sq km

 

Area Sector - Area Triangle = area segemnt =      63.355 - 52.395 = 10.96 sq km

ElectricPavlov May 29, 2016
 #2
avatar+16 
+5

Thanks!

yusername  May 29, 2016

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