Question

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Please answer this question ​

Answer 1

Answer:

Area of shaded region = 10 pi cm^2

Explanation :

Refer the attached picture.

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

Area of the shaded region is 10π cm².

$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

Given : Diameter of the outer semicircle = 12 cm

The constant thickness of shape = 2 cm

To find : Area of shaded region

Solution : Diameter of the outer semicircle = 12 cm

So, Radius(Radius1) of the outer semicircle = 12/2 = 6 cm

Radius(Radius2)of the inner semicircle = 6 - 2 = 4 cm

Shaded region looks like semicircular ring

$\boxed{\sf{So,\:Area\:of\:the\: semicircular\:ring=\frac{1}{2} \pi({Radius1}^{2}-{Radius2}^{2}) }}$

$= \frac{1}{2} \pi( {6}^{2} - {4}^{2} )$

$= \frac{1}{2}\pi(36 - 16)$

$= \frac{1}{2}\pi(20)$

$= \pi \times 10 \\ \\ = 10\pi$

Therefore area of the shaded region is 10π cm².