Circumference of a Circle

Write the formula for the distance travelled by a circular wheel.

A region bounded by two radii and an arc is called

A straight line which intersects the circle at two points is called

A line segment connecting the centre of a circle to any point on the circle itself is called

In the picture below, a square is drawn with its vertices on a circle. If the perimeter of the circle is $2\mathrm{\pi }\sqrt{\mathrm{k}} \mathrm{cm}$ then find $k$.

A copper when bent in the form of a square encloses an area of $121 {\mathrm{cm}}^2$. If the same wire is bent into the form of a circle, find the area of the circle in ${\mathrm{cm}}^2$.

If the circumference of a circle which has an area of $144\mathrm{\pi } {\mathrm{cm}}^2$ is $k\mathrm{\pi }$, then find the value of $k$.

The diameter of the wheel of a cart is $1.05 \mathrm{m}$. If the distance covered by the cart in $1000$ rotations of the wheel is $D \mathrm{km}$, then find the value of $D$. (Take $\mathrm{\pi }=\frac{22}{7}$)

The diameter of a circle is $5.6 \mathrm{cm}$. If its circumference is $x \mathrm{cm}$, then find the value of $x$. (Take $\mathrm{\pi }=\frac{22}{7}$)