Question

Given: BC = 10 inches
AC = 50 square root inches
m∠CBD = 60°
m∠CAD = 90°

calculate the area of the shaded region

Answer 1

please show your work so I can further understand how to solve it in the future! Thank you

Answer 2

@darkknight @mhchen @justjm

Answer 3

that seems about right

Answer 4

This is how I calculated the angles.

So B and A were the centers of their circles. And point C and point D were both points on the circle so we could draw a triangle connecting them. So since both points are equal distance from the centers of the circle, the angle would be the same. For example...

Answer 5

@dangermanger

Answer 6

@darkknight Thank you!!!

Answer 7

np, do you understand everything I said?