To prove: That the shaded area is equal to
Explanation of Solution
Given Information:
B is a point on the diameter AC of a semi-circle.
X and Y are the centres of the bigger and smaller
Formula used:
Area of a semi-circle
Let
Let
So,
So, the diameter of main semi-circle will be
We know that, Area of a semi-circle
Area of the shaded region
Hence, the shaded area is equal to
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