In Fig. 15.63, `A B C D` is a trapezium with `A B D C` and `/_B C D=60o` . If `B F E C` is a sector of a circle with centre `C` and `A B=B C=7\ c m` and `D E=4\ c m` , then find the area of the shaded region `(U s e\ \ pi=(22)/7\ a n d\ sqrt(3)=1. 732)` .

In Fig. 15.72 (a) , O A B C is a square of side 7 cm. If O A P C is a quadrant of a circle with centre O , then find the area of the shaded region. (U s e\ \ pi=22//7) (FIGURE)

In Fig. 15.93, A B C D is a rectangle with A B=14\ c m and B C=7\ c m . Taking D C ,\ B C and A D as diameters, three semi-circles are drawn as shown in the figure. Find the area of the shaded region. (FIGURE)

In Fig. 15.101, A B C D is a trapezium of area 24. 5\ c m^2 . In it, A D B C , /_D A B=90o , A D=10\ c m and B C=4\ c m . If A B E is a quadrant of a circle, find the area of the shaded region. (T a k e\ pi=22//7) . (FIGURE)

In Fig. 15.69, A B and C D are two diameters of a circle perpendicular to each other and O D is the diameter of the smaller circle. If O A=7\ c m , find the area of the shaded region. (FIGURE)

In Fig. 15.103, from a rectangular region A B C D with A B=20\ c m , a right triangle A E D with A E=9\ c m and D E=12 c m , is cut off. On the other end, taking B C as diameter, a semicircle is added on outside the region. Find the area of the shaded region. (U s e\ \ pi=22//7)

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In Fig 31, A B C D is a rectangle with dimensions 32 m by 18 m. A D E is a triangle such that E F_|_A D and E F=14\ c mdot Calculate the area of the shaded region.

In Fig.38, A B C D\ and \ P Q R C are square such that A D=22\ c m\ a n d\ P C=y\ c mdot If the area of the shaded region is 403\ c m^2, then the value of y is (a)3 (b) 6 (c)9 (d) 10

In Fig. 7.21, A C\ =\ A E , A B\ =\ A D and /_B A D\ =/_E A C . Show that B C\ =\ D E .

In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ,\ D C=x\ c m , and distance between A B\ a n d\ D C is 4c m . Find the value of x and area of trapezium A B C D