Question

So, I need to find out, how long one of the side lengths of the orange square is. the square is in the semicircle. you do not have any numbers given, and should use just letters.

thanks in Advance​

Answer 1

Assuming the square and the semicircle aren't merged somehow, and we need to calculate their full area, we should take into account:

Area of a square:

(Side length)² = 22² = 484 square inches

Area of a circle with a diameter of 22inch:

3'14 · (radius)² = 3'14 · 11² = 379'94 square inches

Since we have half a circle, the total areas to add will be:

1/2 · 379'94 + 484 = 673'97

Explanation: