The radius of a circle is increased by $5$ units. What is ratio of the new circumference and the new diameter?

x - 5

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π + 5

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π

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π - 1

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Solution

The correct option is D $π$
Let the radius of the circle be $r$ .
$∴$ New circumference $= 2 π (r + 5)$
and new diameter $= 2 (r + 5)$
$∴$ Ratio $= \frac{2 π (r + 5)}{2 (r + 5)}$
$= π$

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The radius of a circle is increased by 5 units. What is ratio of the new circumference and the new diameter?

The correct option is D πLet the radius of the circle be r.∴ New circumference =2π(r+5)and new diameter =2(r+5)∴ Ratio=2π(r+5)2(r+5)=π

The radius of a circle is increased by $5$ units. What is ratio of the new circumference and the new diameter?

The correct option is D $π$
Let the radius of the circle be $r$ .
$∴$ New circumference $= 2 π (r + 5)$
and new diameter $= 2 (r + 5)$
$∴$ Ratio $= \frac{2 π (r + 5)}{2 (r + 5)}$
$= π$