A problem by Arpit Sah

Level pending

AB is a diameter of a circle of radius 10 units. C is a point on the circle such that length of arc BC = 20 π 3 \frac{20π}{3} units. The angle bisector of angle ACB cuts the circle at D .
Find the length of CD .

10 3 \sqrt{3} 10 2 \sqrt{2} + 5 5 2 \sqrt{2} ( 3 \sqrt{3} +1) 5 3 \sqrt{3} ( 2 \sqrt{2} +1)

Arpit Sah by Arpit Sah , 22, India

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