Question

two semi circles of equal radii are cut out of a semicircle piece of cardboard find the area of the shaded portion the radius of circle is 7​

Answer 1

Answer:

The Area of shaded portion is π (24.5 -  r² )

Step-by-step explanation:

Given as :

The radius of semicircle = R = 7 unit

So, The Area of semicircle = π × radius²

Or, Area of semicircle = π × $\dfrac{R^{2} }{2}$  

Or, Area of semicircle = π × $\dfrac{7^{2} }{2}$

Or, Area of semicircle =  $\dfrac{49\pi }{2}$.........1

Again

Two small semicircle of equal radius is cut

Let The radius of both small semicircle = r unit

Or, Area of each small semicircle = π × $\dfrac{r^{2} }{2}$               ......2

The Area of shaded portion = (Area of semicircle) - (area of one small semicircle +area of other small semicircle )

Or,   The Area of shaded portion = $\dfrac{49\pi }{2}$  - ( π × $\dfrac{r^{2} }{2}$   +  π × $\dfrac{r^{2} }{2}$   )

Or, The Area of shaded portion = $\dfrac{49\pi }{2}$ - ( π r² )

Or, The Area of shaded portion = $\dfrac{49\pi }{2}$ -  π r² = π (24.5 -  r² )

Hence, The Area of shaded portion is π (24.5 -  r² ) . Answer

Answer 2

Step-by-step explanation:

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