Hello, classicstrings!

Careful . . . 5-5-8 is **not** a right triangle.

. . But your game plan is correct.

The area of the intersection of two circles of radius 5 cm

which have their centres 8 cm apart is? Code:

C
*
* : *
5* :3 *5
* α : *
* * * * * * * * *
A 4 4 B

I get a triangle with sides 5, 5, and 8.

We also get a couple of 3-4-5- right triangles.

I work out the angle between the 5 side and 8 side.

radians.

then times that by 2 to get the full angle.

radians

Then use the formula: .

then times that answer by two to get the final answer (the interection)

cm².