Is it true that the distance travelled by a circular wheel of diameter $d\, cm$ in one revolution is $2 \pi d\, cm ?$ Why?
Is it true that the distance travelled by a circular wheel of diameter $d\, cm$ in one revolution is $2 \pi d\, cm ?$ Why?
False
Because the distance travelled by the wheel in one revolution is equal to its circumference
i.e., $\pi d.$
i.e. $\pi(2 r)=2 \pi r=\text { Circumference of wheel } \quad[\because d=2r$]
Similar Questions
In $Fig.$ $ABCD$ is a trapezium with $AB \| DC , AB =18 \,cm , DC =32 \,cm$ and distance between $AB$ and $DC =14\, cm .$ If arcs of equal radii $7\, cm$ with centres $A , B , C$ and $D$ have been drawn, then find the area of the shaded region of the figure. (in $cm^2$)
In $Fig.$ $ABCD$ is a trapezium with $AB \| DC , AB =18 \,cm , DC =32 \,cm$ and distance between $AB$ and $DC =14\, cm .$ If arcs of equal radii $7\, cm$ with centres $A , B , C$ and $D$ have been drawn, then find the area of the shaded region of the figure. (in $cm^2$)
In a circle, the area of a sector formed by two radii perpendicular to each other is $38.5 \,cm ^{2}$. Find the radius of the circle. (in $cm$)
In a circle, the area of a sector formed by two radii perpendicular to each other is $38.5 \,cm ^{2}$. Find the radius of the circle. (in $cm$)
In $\odot( O , 12)$, minor $\widehat{ ACB }$ subtends an angle of measure $30$ at the centre. Then. the length of major $\widehat{A D B}$ is $\ldots \ldots \ldots . . cm .$
In $\odot( O , 12)$, minor $\widehat{ ACB }$ subtends an angle of measure $30$ at the centre. Then. the length of major $\widehat{A D B}$ is $\ldots \ldots \ldots . . cm .$
In a circle with radius $10\, cm ,$ the area of a minor sector is $75 \,cm ^{2}$. Then, the length of the arc of that sector is $\ldots \ldots \ldots . . cm$.
In a circle with radius $10\, cm ,$ the area of a minor sector is $75 \,cm ^{2}$. Then, the length of the arc of that sector is $\ldots \ldots \ldots . . cm$.
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters $36\, cm$ and $20\, cm$ is (in $cm$)
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters $36\, cm$ and $20\, cm$ is (in $cm$)