Circle Questions

A circle is inscribed in a square. If the length of the diagonal of the square is $14\sqrt{2}\text{cm}$, what is the area (in sq cm) of the circle?

Find the length of the arc whose central angle is $90^{\circ }$ and the radius of the circle is $3.5\text{cm}$.

A sector is cut from a circle of diameter $42\text{ cm}$. If the angle of the sector is $150^{\circ }$, then what is its area in ${\text{cm}}^2$? (Take $\pi =\frac{22}{7}$)

A circle circumscribes a rectangle whose sides are in the ratio of $4:3$. If the area of the rectangle is $192{\text{ cm}}^2$, then the perimeter (in $\text{cm}$) of the circle is:

The circumference of a circle is 88cm, find its area?

The area of a circle is 616 sq cm, find its circumference?