How do i find the area of the black shaded portion of the circle?
I noticed the 4 so i think that's the radius. The formula to find the area $$A=πr^2$$
so I thought of using that to find the area of the circle it was
$$50.27$$
The next thing i thought of doing was subtracting the area of the triangle from the area of the circle? But looking at the problem I don't think I know how to do that? Have the steps I've taken been right so far? How would I solve this problem?
Yes O is the center of the circle
Best Answer
The hypotenuse (longest side) of the triangle is 8 long. It is a right triangle, because all corners are on the circle and the longest side goes through the center of the circle. So the top angle of the triangle is 90°
Get both other sides of the triangle via sine and cosine:
$$a =8 \sin(30°)$$ $$b =8 \cos(30°)$$
The area of the triangle is now
$$A_{triangle}=\frac{ab}2$$ that's because it's a right triangle and a and b are the sides which are perpendicular to each other.