Math, asked by devraajrohilla, 1 year ago

A circle of radius 7cm overlap a semi circle of diameter 14cm . Find the area of shaded region

Answers

Answered by shailendrachoubay216
3

Area of shaded region is 462\mathbf{(cm^{2})}

Step-by-step explanation:

1. Radius of smaller circle (r)= 7 (cm)

  area of smaller circle =\mathbf{\pi r^{2}=\frac{22}{7}\times 7^{2}}     ...1)

2. Radius of bigger circle(R)= 14 (cm)

   Area of bigger circle\mathbf{=\pi R^{2}=\frac{22}{7}\times 14^{2}}      ...2)

3. Now area of shaded region = area of bigger circle- area of smaller circle

            Area of shaded region \mathbf{=\frac{22}{7}\times 14^{2}-\frac{22}{7}\times 7^{2}}

            Area of shaded region \mathbf{=\frac{22}{7}\times (14^{2}-7^{2})}

            Area of shaded region\mathbf{=\frac{22}{7}\times (196-49)}

            Area of shaded region\mathbf{=\frac{22}{7}\times 147}

            Area of shaded region\mathbf{=22\times 21=462(cm^{2})}

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