(C) Let the original diameter be $D$ and the original circumference be $C = \pi D$.Time taken for $8$ rounds = $40$ minutes.Time taken for $1$ round =

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(C) Let the original diameter be $D$ and the original circumference be $C = \pi D$.Time taken for $8$ rounds = $40$ minutes.Time taken for $1$ round = $40 / 8 = 5$ minutes.Speed $v = \frac{\text{Distance}}{\text{Time}} = \frac{C}{5} = \frac{\pi D}{5}$.New diameter $D' = 10D$.New circumference $C' = \pi D' = 10 \pi D = 10C$.Since the speed $v$ remains the same,the new time $T'$ required to complete $1$ round is:$T' = \frac{C'}{v} = \frac{10C}{C/5} = 10 \times 5 = 50$ minutes.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Medium

$A$ can go round a circular path $8$ times in $40$ minutes. If the diameter of the circle is increased to $10$ times the original diameter,then the time required by $A$ to go round the new path once,travelling at the same speed as before,is (in $min$)

A
$20$
B
$25$
C
$50$
D
$100$

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Mensuration

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Measurement of Area

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The circumference of a circle whose area is $24.64\, m^{2}$ is ....... $m$.

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$A$ conical iron piece having diameter $28 \, cm$ and height $30 \, cm$ is totally immersed into the water of a cylindrical vessel,resulting in the rise of water level by $6.4 \, cm$. The diameter,in $cm$,of the vessel is

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$A$ can go round a circular path $8$ times in $40$ minutes. If the diameter of the circle is increased to $10$ times the original diameter,then the time required by $A$ to go round the new path once,travelling at the same speed as before,is (in $min$)

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$A$ drawing room is $7.5 \text{ m}$ long,$6.5 \text{ m}$ broad,and $6 \text{ m}$ high. Find the length of paper $2.5 \text{ dm}$ wide required to cover its walls,allowing $8 \text{ m}^2$ for doors.

The circumference of a circle whose area is $24.64\, m^{2}$ is ....... $m$.

$A$ ladder is resting with one end in contact with the top of a wall of height $12\, m$ and the other end on the ground is at a distance $5\, m$ from the wall. The length of the ladder is.....$m$

$A$ solid metallic sphere of radius $21\, cm$ is melted and recast into a cone with diameter of the base as $21\, cm$. What is the height (in $cm$) of the cone?

$A$ conical iron piece having diameter $28 \, cm$ and height $30 \, cm$ is totally immersed into the water of a cylindrical vessel,resulting in the rise of water level by $6.4 \, cm$. The diameter,in $cm$,of the vessel is

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