Question

Two concentric circles have radii of 14 and 16. Find the area of the ring. Round to the nearest tenth.

Answer 1

Given:

Two concentric circles have radii of 14 and 16.

Required:

To find the area of the ring.

Explanation:

Consider the figure,

Now we have to find the area of the big circle.

The formula for area of the circle is,

$A=\pi r^2$

Here r = 16,

$\begin{gathered} A=\pi(16)^2 \\ A=256\pi \end{gathered}$

Now the area of the small circle is,

$\begin{gathered} A=\pi(14)^2 \\ A=196\pi \end{gathered}$

Now the area of the ring is = Area of the big circle - Area of the small circle.

$\begin{gathered} =256\pi-196\pi \\ \\ =60\pi \end{gathered}$

Final Answer:

The area of the ring is

$60\pi$