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| Math Central | Quandaries & Queries |
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Question from Husen, a student: two circles of radius 5 cm intersect each other .the distance between their centers is 5root 2.find the area of the portion common to the two circles |
Husen,
I can help get you started.
C is the centre of the circle on the right and B is the midpoint of the line joining the centres. By the symmetry angle ABC is a right angle. The length of CA is 5 cm and the length of BC is 1/2 (5√2) cm. Use Pythagoras theorem to find the length of AB. What is the measure of the angle BCA.
Penny
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