2D-3D

Two circles of equal size intersect and the centre of each circle is on the circumference of the other. What is the area of the intersection? Now imagine that the diagram represents two spheres of equal volume with the centre of each sphere on the surface of the other. What is the volume of intersection?
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Two circles of equal size intersect and the centre of each circle is on the circumference of the other.

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2D-3D
 

What is the area of the intersection?

Now imagine that the diagram represents two spheres of equal volume with the centre of each sphere on the surface of the other.

What is the volume of intersection?