
Find the area of a circle inscribed in a square of side . [Hint: Diameter of the circle is equal to the side of the square]



Important Questions on Area of Plane Figures
Find the area of the shaded region in the given figure.

Find the area of the shaded region in the given figure.

The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii (each ). Find the area of the shaded region.

The adjacent figure consists of four half circles and two quarter circles. If . Find the area of the shaded region.

In adjacent figure and are centers of equal circles which touch externally in pairs and is a square of side . Find the area of the shaded region.

The area of an equilateral triangle is . Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle as shown in the figure. Find the area of the portion in the triangle not included in the circles.

Four equal circles, each of radius ‘’ touch one another. Find the area between them.

Four equal circles are described about the four corners of a square so that each circle touches two of the others. Find the area of the space enclosed between the circumferences of the circles, each side of the square measuring
