If the diameter of a circle decreases to its 1-4th- then its radius decreases to

The correct option is D 1/4 th timesFor a circle, Diameter = 2 × Radius This means diameter and radius are proportional to each other. If Diameter de ...

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Standard VII

Mathematics

Radii, Chord, Diameter and Circumference of the Circle

If the diamet...

Question

If the diameter of a circle decreases to its $\frac{1}{4}$ th, then its radius decreases to

\frac{1}{2}

times

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4

times

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2

times

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\frac{1}{4}

th times

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Solution

The correct option is D $\frac{1}{4}$ th times
For a circle, $D i a m e t e r = 2 \times R a d i u s$
This means diameter and radius are proportional to each other.
If Diameter decreases $\frac{1}{4}$ times, radius will also decrease $\frac{1}{4}$ times.

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If the diameter of a circle decreases to its 14th, then its radius decreases to

The correct option is D 14th timesFor a circle, Diameter=2×RadiusThis means diameter and radius are proportional to each other. If Diameter decreases 14 times, radius will also decrease 14 times.

If the diameter of a circle decreases to its $\frac{1}{4}$ th, then its radius decreases to

The correct option is D $\frac{1}{4}$ th times
For a circle, $D i a m e t e r = 2 \times R a d i u s$
This means diameter and radius are proportional to each other.
If Diameter decreases $\frac{1}{4}$ times, radius will also decrease $\frac{1}{4}$ times.