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↝ Area of shaded region = Area of semi circle - Area of ∆PQR
↝ As QR is diameter , it forms semicircle .
↝ As we know angle in the semicircle is right angle . Hence , ∠RPQ is 90°
↝ Therefore , ∆PQR is right angled triangle
By Pythagoras Theorem
↝
↝
↝
↝
↝
↝ QR = √625
↝ QR = 25 cm
↝ Diameter of the circle = QR = 25 cm
↝ Radius =
↝ Area of semicircle =
↝ Area of semicircle =
↝ =
↝ =
↝ Area of semicircle =
_____________________________________
In ∆PQR
↝ Area of ∆PQR =
↝ =
↝ =
↝ Area of ∆ PQR = 84
_______________________________________
Area of shaded region = Area of semicircle - Area of ∆ PQR
↝ =
↝ =
↝ =
↝ Area of shaded region =
_______________________________________
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