# Find the Area of the shaded region in the given problem

• chwala
In summary, the conversation was about the benefits of meditation and how it can improve mental and physical health. The speaker talked about the different types of meditation and how it can reduce stress, increase focus, and promote overall well-being. They also discussed the importance of finding the right method and setting aside time for regular practice.

#### chwala

Gold Member
Homework Statement
See attached
Relevant Equations
Circular measure
Wawawawawa boggled me a little bit... but finally managed it...seeking alternative approach guys;

kindly note that what i have indicated as ##*## and a ##√## is the correct working ...

Text book answer indicates ##17.5## as answer... will re check my rounding solutions later...

My working- allow me to copy paste here...will later type the working...

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From your sketch, say S is area we want, it seems
$$2S=\frac{1}{2}*20^2 (4\alpha)-4*\frac{1}{2}*15\cos \alpha*5-2*\frac{1}{2}*5^2(\pi+2\alpha)$$
where
$$\sin\alpha =\frac{1}{3}$$
Is it same as your idea ?

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neilparker62, chwala and Steve4Physics