The length of a diagonal of a square inscribed in a circle with radius $10\, cm$ is $\ldots \ldots \ldots . cm$.
$20$
$10$
$10 \sqrt{2}$
$20 \sqrt{2}$
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 radit of two concentric circles are $23\, cm$ and $16 \,cm .$ Find the area of the circular ring formed by the circles. (in $cm^2$)
The length of a square field is $50\, m .$ A cow is tethered at one of the vertices by a $3\, m$ long rope. Find the area of the region of the field in which the cow can graze. $(\pi=3.14)$ (in $m^2$)
The circumference of a circle is $176 \,cm .$ Find its radius. (in $cm$)
If the sum of the circumferences of two circles with radii $R_{1}$ and $R_{2}$ is equal to the circumference of a circle of radius $R ,$ then