Answer:
4π-8
Explanation:
area of top semicircle - area of triangle = answer
triangle is a 45 45 90 triangle, so the hypotenuse = one leg * √2 = 4 * √2
the hypotenuse (side opposite right angle) = the diameter
area of top semicircle = πr² (area of whole circle) /2
radius = diameter / 2 = 2√2
area of top semicircle = 8π /2 = 4π
area of triangle = one leg ² /2 = 4²/2 = 8
thus, final area = 4π-8