In a circular table cover of radius 32 cm, a design is fromed leaving an equilateral triangle ABC in the middle as shown in Fig. 5.24. Find the area of the design.

In a circular table cover of radius 32cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the figure. Find the area of the design.

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig. 5.23. Find the area of the remaining portion of the square.

From a circular card sheet of radius 14cm, two circles of radius 3.5cm and a rectangle of length 3cm and breadth 1cm are removed (as shown in the adjoining figure. Find the area of the remaining sheet. (Take pi=22/7 )

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the trianlge as centre, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region .

In the given figure, Delta POR is an equilateral triangle of side 8 cm and D, E, F are centres of circular arcs, each of radius 4 cm. Find the area r shaded region. (Use pi = 3.14 and sqrt(3) = 1.732)

A round table cover has six designs of equal area as shown is the figure. If the radius of the cover is 28cm, find the cost of making the designs at the rate Rs. 0.35 per cm^2

Find the area of the shaded region in Fig. 5.22, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increased at the rate of 0.05 cm//s . Find the rate at which its area is increasing when radius is 3.2 cm.