Answer:
12π
Step-by-step explanation:
So our first step is to find the circumference of the circle.
Circumference is πd.
The diameter is double the radius, and the radius is 8.
Therefore, the diameter is 16 (8*2)
The circumference would then be 16π.
Arc YPX is 3/4 of the circle. This is because a circle has 360 degrees, and arc XY is 90 degrees. Arc YPX is the rest of the circle. (360-90=270, 270/360=3/4)
So, 3/4*16π=12π
Arc YPX is 12π
