Math CentralQuandaries & Queries


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


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.


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