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 $cm$)
$56$
$42$
$28$
$16$
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
Circumferences of two circles are equal. Is it necessary that their areas be equal? Why?
Is it true to say that area of a square inscribed in a circle of diameter $p \,cm$ is $p^{2} \,cm ^{2} ? Why ?$
Nine circular designs are made in a show$-$ piece as shown in the diagram. If the radius of each circle is $21\, cm ,$ find the area of the region without design. (in $cm^2$)
In $Fig.$, a square is inscribed in a circle of diameter $d$ and another square is circumscribing the circle. Is the area of the outer square four times the area of the inner square? Give reasons for your answer.