Question

A circular target is divided into four rings that have equal areas. If the radius of the target is 24cm, find the radius of the circle at the centre of the target.

Answer 1

THE AREA OF THE RING WHICH IS INSIDE CIRCULAR TARGET IS 12CM.

Explanation:

A circular target which is divided into four rings of equal areas as given in the information

The area of the circular target is

Area =
`\pi` * R².

As per the given data radius of the target 'R' is 24cm,

Area of circular target =
`\pi` * 24²

=> 576
`\pi`.

let us consider radius of ring equals to 'r',

So, each of the ring has area of

=> Area of ring = (
`\pi` * 576) / 4

=> 144 *
`\pi`

Now let us consider area of the small ring inside circular target

Area of ring =
`\pi` * r²

`\pi` * r² = 144
`\pi`

Taking off the
`\pi` from both sides

r² = 144

r = 12.

Therefore radius of ring which is inside circular target is 12 cm.