Question

What is the difference between the circumference of the outer circle and the circumference of the inner circle? Leave your answer in terms of π.


Diameter is 9m and the outer part of the circle is 2m

Will give brainiest

Answer 1

Answer:

22\pi m

Step-by-step explanation:

Given:

Diameter is 9 m and the outer part of the circle is 2 m

To find: difference between the circumference of the outer circle and the circumference of the inner circle

Solution:

Diameter of inner circle = 9 m

Radius of the inner circle (r)  $=\frac{9}{2}=4.5\,\,m$

Circumference of the inner circle $=\pi r^2=\pi (4.5)^2$

As outer part of the circle is 2 m,

outer radius (R) = r + 2 = 4.5 + 2 = 6.5 m

Circumference of the outer circle $=\pi R^2=\pi (6.5)^2$

So,

difference between the circumference of the outer circle and the circumference of the inner circle $=\pi (6.5)^2-\pi (4.5)^2=\pi\left [ (6.5)^2-(4.5)^2 \right ]=\pi\left ( 42.25-20.25 \right )=22\pi$ m