Math challenge| can you find the area of the semi-circle?| Geometry

Hi everyone, today we are asked to find the area of this semicircle. Now this semicircle, this triangle is supposed to be an equilateral triangle. I drew it freehand, but please note that this is an equilateral triangle. And this is the point of contact between this semicircle and the side of the triangle. Now we are asked to find the area of this semicircle. First of all, we need to understand what we are being asked to do. If we are asked to find the area of a semicircle, that means we need to know the area of a full circle. Now the formula for the area of a circle is pi times r squared. The area of a circle is pi times r squared. So if we are asked to find the area of a semicircle, which is half of a circle, Then the area should be pi times r squared divided by 2. So we need to find the area of this semicircle using this particular method. Now, notice that we don't know the value of rr. The radius of the circle was not given, and we are told that the sides are 666. showing that this is an equilateral triangle, and that is the only information we have. So where do we go from here? The first thing we need to understand or do is to try to find the value of r. Okay, first we need to remember that this is the center of the circle. If I draw a line,