Length of an Arc

In the given figure, a rectangle ABCD is inscribed inside a semi-circle of radius 10 cm. Using the dimensions given in the figure, determine the area of the shaded region.

In the given figure `square`ABCD is a square of side 50 m. Points P, Q, R, S are midpoints of side AB, side BC, side CD, side AD respectively. Find area of shaded region

If x = `θ/360` × 2πr then what is x in the formula?

In Δ ABC, if ∠ A = 65° ; ∠ B = 40° then find the measure of ∠ C.

The measure of an arc of a circle is 80° and its radius is 18 cm. Find the length of the arc. (π = 3.14)

The area of a sector of a circle of 6 cm radius is 15 π sq. cm. Find the measure of the arc and the length of the arc corresponding to the sector.

Find the length of an arc if measure of the arc is 90° and its radius
is 14 cm.

Two gates are fitted at the entrance of a library. To open the gates easily, a wheel is fixed at 6 feet distance from the wall to which the gate is fixed. If one of the gates is opened to 90°, find the distance moved by the wheel (π = 3.14)