Answer:
The area of the shaded portion is;
A= π (81x^4 - 49x^2)
Step-by-step explanation:
Looking at the given figure, the area of the shaded part is simply the area of the bigger circle minus the area of the smaller circle
The bigger circle has a radius of 9x^2
The smaller circle has a radius of 7x
The radius is the distance from the center to any part of the circumference
The area of a circle can be calculated using the formula;
A = pi * r^2
For the bigger circle, we have;
A = pi * (9x^2)^2
A = pi * 81x^4
for the smaller circle, we have;
A = pi * (7x)^2
A = pi * 49x^2
So the area of the shaded portion will be;
A= π (81x^4 - 49x^2)
