The given figure represents a kite with a circular and a semicircular motifs stuck on it. The ardius of cirlce is 2.5 cm and the semicircle is 2 cm. If diagonal AC and BD are of lengths 12 cm and 8 cm respectively, find the area of the :
(i) shaded part. Give your answer corrrect to the nearest whole number.
(ii) unshaded part.

In the given figure ABCD is a rectangle. It consists of a circle and two semi-circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.**

In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BD and DC are of lengths 6 cm and 9 cm respectively. If the area of triangleABC = 54 cm^(2) , then find the lengths of sides AB and AC. ltBRgt

In the given figure , ABC is a right triangle, right angled at B. Medians AD and CE are of respective length 5 cm and 2sqrt5 cm . Find the length of AC.

In Figure, the boundary of the shaded region consists of four semi-circular arcs, the smallest two being equal. If the diameter of the largest is 14 cm and of the smallest is 3.5 cm, find (i) the length of the boundary (ii) the area of the shaded region.

In Figure, triangle A B C is drawn to circumscribe a circle of radius 4cm such that the segments B Da n dD C are of lengths 8cm and 6cm respectively. Find the lengths of sides A Ba n dA C , when area of A B C is 84 c m^2dot

A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer correct to the nearest centimetre ( Take pi = 3 (1)/(7))

In the given figure, a triangle PQR is drawn to circumscribe a circle of radius sqrt(3 ) cm such that segments RS and QS into which QR is divided by the point of contact S are of lengths 5 cm and 3 cm respectively. If the area of DeltaPQR is 10sqrt(3 ) cm^2 , then find the sides PQ and PR.

In Figure, O A C B is a quadrant of a circle with centre O and radius 3.5 cm. If O D=2\ c m , find the area of the (i) quadrant O A C B (ii) shaded region.

In the figure, the area of the shaded portion is 770 cm^(2) . If the circumference of the outer circle is 132 cm, find the width of the shaded part

The length and breadth of a rectangular plate are measured to be 14.5 cm and 4.2cm respectively. Find its area to appropriate significant figures.