In covering a distance $s$ metres, a circular wheel of radius $r$ metres makes $\frac{s}{2 \pi r}$ revolutions. Is this statement true? Why?
In covering a distance $s$ metres, a circular wheel of radius $r$ metres makes $\frac{s}{2 \pi r}$ revolutions. Is this statement true? Why?
True
The distance covered in one revolution is $2 \pi r$ i.e., its circumference.
Similar Questions
In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is $\frac{1}{6}$ times the circumference of the circle. Then, the measure of the angle subtended at the centre by minor $\widehat{ ACB }$ is .........
In $\odot( O , r),$ the length of minor $\widehat{ ACB }$ is $\frac{1}{6}$ times the circumference of the circle. Then, the measure of the angle subtended at the centre by minor $\widehat{ ACB }$ is .........
A calf is tied with a rope of length $6 \,m$ at the corner of a square grassy lawn of side $20\, m$. If the length of the rope is increased by $5.5\, m$, find the increase in area of the grassy lawn in which the calf can graze. (in $m ^{2}$)
A calf is tied with a rope of length $6 \,m$ at the corner of a square grassy lawn of side $20\, m$. If the length of the rope is increased by $5.5\, m$, find the increase in area of the grassy lawn in which the calf can graze. (in $m ^{2}$)
While calculating the area of a circle, its radius was taken to be $6\,cm$ instead of $5\,cm .$ The calculated area is $\ldots \ldots \ldots . . \%$ more than the actual area.
While calculating the area of a circle, its radius was taken to be $6\,cm$ instead of $5\,cm .$ The calculated area is $\ldots \ldots \ldots . . \%$ more than the actual area.
Which of the following correctly matches the information given in Part $I$ and Part $II$ ?
Part $I$
Part $II$
$1.$ Formula to find the length of a minor arc
$a.$ $C=2\pi r$
$2.$ Formula to find the area of a minor sector
$b.$ $A =\pi r^{2}$
$3.$ Formula to find the area of a circle
$c.$ $l=\frac{\pi r \theta}{180}$
$4.$ Formula to find the circumference of a circle
$d.$ $A=\frac{\pi r^{2} \theta}{360}$
Which of the following correctly matches the information given in Part $I$ and Part $II$ ?
| Part $I$ | Part $II$ |
| $1.$ Formula to find the length of a minor arc | $a.$ $C=2\pi r$ |
| $2.$ Formula to find the area of a minor sector | $b.$ $A =\pi r^{2}$ |
| $3.$ Formula to find the area of a circle | $c.$ $l=\frac{\pi r \theta}{180}$ |
| $4.$ Formula to find the circumference of a circle | $d.$ $A=\frac{\pi r^{2} \theta}{360}$ |
Find the area of the shaded region given in $Fig.$
Find the area of the shaded region given in $Fig.$