In the figure semicircles are drawn with PQ, PB and BQ as diameter. `PB = BQ = 21 cm`. A circle with centre O is drawn to touch all the three semicircles. Find its radius and also find the shaded region.

In the given figure, AB = 36 cm and M is the midpoint of AB. Semicircles are drawn on AB, AM and MB as diameters. A circle with centre C touches all the three circles. Find the area of shaded region. [Hint : Take O as the centre of semicircle on diameter AM. Take the radius of the circle with centre C as r. Then , OC = (9 + r)cm, OM = 9 cm and CM = (18-r) cm. Now, use Pythagoras theorem and find r = 6 cm.]

In Figure AB = 36 cm and M is mid-point of AB. Semi-circles are drawn on AB, AM and MB as diameters. A circle with centre C touches all the three circles. Find the area of the shaded region.

In Figure AB=36cm and M is mid-point of AB.Semi-circles are drawn on AB,AM and MB as diameters.A circle with centre C touches all the three circles.Find the area of the shaded region.

PQ is a lines segment and R is its midpoint. Semicircles are drawn at the same side of PQ taking PR, RQ and PQ as diameters. A circle of radius r and centre O is drawn touching all the three semi circles. Prove that r = (1)/(6) PQ

AB is a line segment of length 2a with M as mid-point. Semicircles are drawn on one side with AM, MB and AB as diameter as shown in the above figure. A circle .with centre O and radius r is drawn such that this circle touches all the three semicircles. The value of r is

OAQB is a quadrant of a circle with centre O and radius 14 cm. A semicircle is drawn on diameter OB. Find the area of the shaded region.

PQRS is the diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semi-circles are drawn with PQ and QS as diameters as shown in the figure alongside. Find the ratio of the area of the shaded region to that of the unshaded region.

In the figure, in Delta ABC, angle B = 90^(@), AB = 28 cm and BC = 21 cm . With AC as diameter a semicircle is drawn and with BC as radius a quarter circle is drawn. Find the area of the shaded region correct to two decimal places.

In the figure, in Delta ABC, angle B = 90^(@), AB = 28 cm and BC = 21 cm . With AC as diameter a semicircle is drawn and with BC as radius a quarter circle is drawn. Find the area of the shaded region correct to two decimal places.

In the fig.ABC is a quadrant of a circle of radius 14cm and a semicircle is drawn with BC as a diameter. Find the area of the shaded region.