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C2 trig question need help with my solution

The question is :
Find the area of the

a) the largest square b) the largest circle c) the largest inverted semicircle

which can be inscribed onto a semicircle of radius r.

I have attached my solution in the next post please if someone can check for me if I am wrong or right
thanks

thank you very much in advance
(edited 8 years ago)
Reply 1
sorry i had problems uploading them please check my solutions question 4

thanks
Reply 2
bump* plz help
Reply 3
I think you have done it correctly, however, I guess the answer to the sq. would be 4r^2/5.
I feel it would be easier to use a coordinate approach over here.

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