Write the formula for the area of a circle with radius r.

Write the formula for the area of a sector of a circle with radius r and angle at the centre θ.

Calculate the area of a sector with a radius of 14 cm and a central angle of 45∘.

Find the area of a semi-circular lamina with a diameter of 28 cm.

What is the area of a sector which is 41​ of a circle with a radius of 14 cm?

The area of a sector is 77 cm² and its radius is 10.5 cm. Find the angle at the centre of the sector.

The area of a sector with a central angle of 280∘ is 792 cm². Find the radius of the circle it belongs to.

A compound figure consists of a square of side length 14 cm and a semi-circle whose diameter is a side of the square. Calculate the total area of the figure.

A rectangular lamina is 20 cm long and 7 cm wide. A quarter-circle of radius 7 cm is cut out from one corner. Find the area of the remaining shaded portion.

A compound figure is made of a parallelogram with a base of 44 cm and a perpendicular height of 7 cm, and a sector of a circle with radius 7 cm and a central angle of 30∘ attached to one of its shorter sides. Find the total area of the figure.

A circular lamina has a radius of 28 cm. Two sectors, one with a central angle of 150∘ and radius 14 cm, and another with a central angle of 30∘ and radius 14 cm, are marked on it. If these two sectors are cut out, what is the area of the remaining portion?

A figure consists of two concentric sectors. The larger sector has a radius of 14 cm and the smaller one has a radius of 7 cm. Both have a central angle of 45∘. Show that the area of the unshaded region (the larger sector) is seven times the area of the shaded (smaller) sector.

Find the area of a shaded region formed by taking a square of side 14 cm and removing two semi-circles of diameter 14 cm from two opposite sides, leaving a lawn in the middle.

A figure is formed by two semi-circles. The larger semi-circle has a radius of 14 cm. The smaller semi-circle, with a radius of 7 cm, is placed on the diameter of the larger one. Show that the ratio of the unshaded region to the shaded region is 5 : 7.

A square ABCD has a side length of 10.5 cm. Two arcs, BED and BFD, are drawn with centres A and C respectively. Find the area of the shaded region enclosed by these two arcs.