Your answer is b) 18.3.
To find the area of the shaded region, we need to find both the area of the isosceles triangle and the area of the whole shape, so we can subtract the triangle from the whole shape.
To find the area of the triangle you can use the equation A = (b × h)/2 which gives you 64/2 = 32 in².
To find the area of the whole shape, you need to find the area of the circle that it would be in, and divide it by 4. This is because the shape is a quarter circle, so by finding the whole circle and dividing by 4 we get just the quarter.
The area of a circle is πr², so:
A = 1/4(64π)
A = 16π
A = 50.3
So now we can do 50.3 - 32 = 18.3
I hope this helps! Let me know if you have any questions :)
