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36 votes
36 votes
22. Write a polynomial in simplest form

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

22. Write a polynomial in simplest form to express the shaded area in terms of . 9x-example-1
User Jtompl
by
2.8k points

1 Answer

13 votes
13 votes

Answer:

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)

User Martin Schaer
by
2.9k points