Hello from MrBillDoesMath!
Answer:
See discussion below
Discussion:
The circle shown inside the triangle is called an "incircle". The area of the triangle surrounding the incircle is given by the formula
r * (semi-perimeter of the triangle) =
6 * (1/2) ( length of (side 1 + side2 + side 3) )
Note we need to know the side lengths to find a numeric value for the area of the triangle.
The area of the circle is given by Pi * R^2 = Pi * 6^2 = 36 Pi, so the area of the shaded region is
6 * (1/2) ( length of (side 1 + side2 + side 3) ) - 36 Pi
That's the best I can do with the info provided. Is any info missing from the problem statement ? (e.g the side lengths or maybe if this is an equilateral triangle)
Thank you,
MrB
