Area Related to...

Consider the above figure. Find the area in the given rectangle excluding the $$6$$ identical semicircles.

What is the length of an arc of a circle with a radius of $$5$$ if it subtends an angle of $${60}^{o}$$ at the center?

When the figure above is spun around its vertical axis, the total surface area of the solid formed will be

A memento is made as shown in the figure. Find the area of the region in the triangle excluding the part cut by the circle.

ASB is a quarter circle. PQRS is a rectangle with sides PQ$$=8$$ and PS$$=6$$. What is the length of the arc AQB?

A show-piece, as shown in the figure, is made of a cube and a hemisphere. If the measure of the total surface area of the cube is represented by $$A$$, the curved surface area of the hemisphere is represented by $$B$$ and the area of the base of the hemisphere is represented by $$C$$, then ................ is true for the total surface area of the show-piece.

$$ABCD$$ is a rectangle having length $$30\ cm$$ and breadth $$25\ cm, P, Q, R, S$$ are midpoints of $$AB, BC, CD$$ and $$AD$$ respectively. Find the area of the shaded region of the figure.

Which of the following figures has $$10$$ vertices?

Find the area of the following figure (not drawn to scale) by splitting them into rectangles and squares.

Match the figure is Column-I with their shaded areas given the Column-II.