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Find the diameter of a circle whose radius is 28.56% greater than the radius of another circle of radius 14 cm.


1. 23 cm
2. 36 cm
3. 40 cm
4. 25 cm

1 Answer

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Correct Answer - Option 2 : 36 cm

Given:

The radius of the first circle = 14 cm.

The radius of the second circle is 28.56% greater than the radius of 1st circle.

Formula:

Diameter of a circle  = 2 × radius of a circle.

Calculation:

Since 28.56% = 2/7

So, if the radius of the first circle is 7 units then the radius of the second circle would be 9 units.

Since 7 units given → 14

So, 9 units would be → 18

So, the radius of the second circle would be 18 cm

Hence diameter of the circle would be two times its radius = 2 × 18 = 36 cm.

∴ The diameter of a circle which radius is 28.56% greater than the radius of another circle of radius 14 cm is 36 cm.

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