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In the diagram below, ABCD is a parallelogram with AB=42 cm. Arc AD is a semi-circle. The area of the parallelogram is 504cm2, and angle ADC = 60 degrees. Find the area of the shaded region in cm2.

 

 Feb 14, 2020
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In the diagram below, ABCD is a parallelogram with AB=42 cm. Arc AD is a semi-circle. The area of the parallelogram is 504cm2, and angle ADC = 60 degrees. Find the area of the shaded region in cm2.

AB = 42cm       

Area = 504 cm²

Angle ADC = 60°

504 / 42 = 12

Semi-circle radius  r =  [12 / sin(60°)] /2    r = 6.928

Shaded region area    Ar = ( r² pi ) /2 = 75.398 cm²    indecision

 Feb 15, 2020
edited by Dragan  Feb 15, 2020
edited by Dragan  Feb 15, 2020

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