Question

22. Write a polynomial in simplest form

to express the shaded area in terms of .
9x2
7x​

Answer 1

The area of the shaded portion is;

A= π (81x^4 - 49x^2)

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)