Question

Find the perimeter and area of the shaded region in the following figures .All the measurements are in centimetres.

Answer 1

Hope u got it !!

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#H

Answer 2

Area = 104.57 sq. cm and Perimeter = 38.86 cm.

Step-by-step explanation:

If the radius of the semicircle is r, then by applying the Pythagoras Theorem, we can write

10² = 8² + r²

⇒ r² = 36

⇒ r = 6 cm.

Therefore, diameter is = 12 cm

So, the area of the shaded region = (area of the semicircle + area of the triangle)

= 0.5 × πr² + 0.5 × 12 × 8

= $0.5 \times (\frac{22}{7}) \times (6)^{2} + 0.5 \times 12 \times 8$

= 104.57 square cm.

And the perimeter of the shaded region = half circumference of the circle + 2 × 10

= πr + 2 × 10

= $(\frac{22}{7}) \times 6 + 2 \times 10$

= 38.86 cm. (Answer)