Question

solve this

Answer 1

Draw up the diagram such that two circles pass through the centre of each other. Since one circle passes through the centre of the other circle, they must both pass through each other's centres as they have the same radius.

Now construct the common chord.

Answer 2

There is a circle geometry theorem which states the line joining the centres of two circles is the perpendicular bisector of the common chord. So construct a line between the centres of both circles (which is length r), and divide the common chord into two equal intervals.

Answer 3

Okay this is quite a long question and a diagram would help...But construct radius r from the centre of each circle to the points of intersection. Then, form equations for the area of a segment/sector of a circle using 'r' and 'theta'. From there, work out the common area :)

Answer 4

Since we're dealing with a region in the circle, we have to use the formula

A=1/2*r^2*theta where theta is in radians

Answer 5

okay,