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In the given figure PQR is a right angled triangle with PQ=21cm and PR=42cm. With the vertices P,Q, and R as centres arcs are drawn each of radius 10cm. Find the area of the shaded region. (Image is attached)

In the given figure PQR is a right angled triangle with PQ=21cm and PR=42cm. With the vertices P,Q, and R as centres arcs are drawn each of radius 10cm. Find the area of the shaded region. (Image is attached)

Question Image
Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi,

Find the area of triangle.
Now we also know that area of sector of a circle is related to the angle substended at centre by that arc which is r2(theta)/2.

So find the agles at each vertex and find the area of sector. Than subtract it from the area of triangle. To get the answer.

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