SOLUTION: (42) Two circles of unit radius with centers A and B are tangent to each other at C. They are also tangent internally to a circle with center C. Find the area of the shaded region.
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Question 1209521: (42) Two circles of unit radius with centers A and B are tangent to each other at C. They are also tangent internally to a circle with center C. Find the area of the shaded region.
Link to diagram: https://ibb.co/QFchDRT5 Answer by ikleyn(52834) (Show Source):
Smaller circles have radius 1 (they have a unit radius, as given in the problem).
Hence, greater circle has the radius of 2.
To complete the solution, from the area of the great circle subtract the area of two smaller circles
- = - = = 6.28 square units (approximately). ANSWER
