
A chord of a circle of radiussub tends an angle of at the center. Find the area of the corresponding major segment of the circle (Use ).

Important Questions on Areas Related to Circles
The radius of a circle with centre is . Two radii and are drawn at right angles to each other. Find the areas of the segments made by the chord . . If the area of the minor segment is , then find the value of .

is the diameter of a circle, centre is a point on the circumference such that . The area of the minor segment cut off by is equal to twice the area of the sector . Prove that .

A chord of a circle subtends an angle of at the centre of the circle. The area of the minor segment cut off by the chord is one eighth of the area of the circle. Prove that .

A plot is in the form of a rectangle having a semi-circle on as shown in the following figure. If and , find the area of the plot.

A play ground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are and , find the area of the playground. (Take )

Find the area of the circle in which a square of area is inscribed. [Use ]

A rectangular piece is long and wide. From its four corners, quadrants of radii have been cut. Find the area of the remaining part.

In figure, is a square of side 4 . Find the area of the shaded square.
