Thread: Circles

In the figure, two circles cut at A and B. P and Q are the centres of the circles. If <APB=90 and <AQB=60 then find the area of the shaded portion if AP=4cm.

posted by snigdha

AP=4 given
AB=4times radical 2 property of 90 deg triangle with equal legs
AQ= AB property of equilateral triangle

Calculate the area of the two defined triangles.
Calculate the two sector areas.
Calculate the two segment areas.

It is downhill from there on.


bjh