Answered

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

Sagot :

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,

[tex]A=\pi r^2[/tex]

Here r = 16,

[tex]\begin{gathered} A=\pi(16)^2 \\ A=256\pi \end{gathered}[/tex]

Now the area of the small circle is,

[tex]\begin{gathered} A=\pi(14)^2 \\ A=196\pi \end{gathered}[/tex]

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

[tex]\begin{gathered} =256\pi-196\pi \\ \\ =60\pi \end{gathered}[/tex]

Final Answer:

The area of the ring is

[tex]60\pi[/tex]

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