The distance between the centers of two circles K1 and K2 is 2cm. Determine the surface area of the figure that belongs to both circles.

circlesgeometry

The distance between the centers of two circles K1 and K2 is 2cm. They intersect under a right angle, the radius of K1 is 1cm. Determine the surface area of the figure that belongs to both circles.

[This is a little sketch.[1]

So I drew it like this. It is obvious that the radius of K2 is then the square root of 3. I have no idea how to get the surface area of this weird shape. Any tips?

Best Answer

You can calculate the area of a circular cap as shown below. Two such circular caps produce your 'weird shape'. enter image description here

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