There are two spheres and one cube. The cube is inside the bigger sphere and the smaller sphere is inside the cube. Find the ratio of surface areas of the bigger sphere to the smaller sphere?

In the adjoining figure, a star is shown. What is the sum of the angles $P, Q, R, S$ and $T$?

In the figure given below, $PS$ & $RT$ are the medians each measuring $4 cm$. $△PQR$ is right-angled at $Q$. What is the area of the $△PQR$?

$R$ is $O$ is the center of the circle having radius $\left(OP\right) = r. PQRSTU$ is a regular hexagon and $PAQBRCSDTEUFP$ is a regular six-pointed star.

Find the perimeter of hexagon $PQRSTU$.

In the given figure, it is given that $\angle C=90°, AD = DB, DE$ is perpendicular to $AB= 20$, and $AC = 12$. The area of the quadrilateral $ADEC$ is:

Rectangle $PQRS$ contains $4$ congruent rectangles. If the smaller dimension of one of the small rectangles is $4$ units, what is the area of rectangle $PQRS$ in square units?