The minute-hand of a clock is 14 , cm long. T | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The minute hand of a clock completes a full circle $(360^{\circ})$ in $60 \, min$.Therefore,the angle covered by the minute hand in $30 \, min$ is

Vedclass · Accepted Answer

$308$

Vedclass · Answer

(A) The minute hand of a clock completes a full circle $(360^{\circ})$ in $60 \, min$.Therefore,the angle covered by the minute hand in $30 \, min$ is $	heta = \frac{360^{\circ}}{60} 	imes 30 = 180^{\circ}$.The length of the minute hand is the radius of the circle,so $r = 14 \, cm$.The area covered by the minute hand is the area of the sector formed by the angle $	heta$:$	ext{Area} = \frac{	heta}{360^{\circ}} 	imes \pi r^2$$	ext{Area} = \frac{180^{\circ}}{360^{\circ}} 	imes \frac{22}{7} 	imes 14 	imes 14$$	ext{Area} = \frac{1}{2} 	imes 22 	imes 2 	imes 14$$	ext{Area} = 11 	imes 28 = 308 \, cm^2$.

The minute-hand of a clock is $14 \, cm$ long. The area covered by the minute hand in $30 \, min$ is.............$cm^2$

Similar Questions

$A$ rectangular farm has to be fenced on one long side, one short side, and the diagonal. If the cost of fencing is ₹ $10$ per $m$, the area of the farm is $1200 \ m^2$, and the short side is $30 \ m$ long, how much would the job cost? (in ₹)

Around a circular garden,a circular road is to be repaired which costs $Rs. 22176$ at the rate of $Rs. 1$ per $sq. m$. If the inner radius is $112$ $m$,find the width of the circular road in $m$.

Perimeter of a rhombus is $2p$ units and the sum of the lengths of its diagonals is $m$ units,then the area of the rhombus is

The height of an equilateral triangle whose perimeter is $24 \, cm$ is

$A$ steel sphere of radius $4 \, cm$ is drawn into a wire of diameter $4 \, mm$. Find the length of the wire in $mm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module