In Figure, `A B C D` is a trapezium with `A B || D C` and `/_B C D=60^@` . 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 Figure, A B C D is a trapezium with AB||DC . If /_\ A E D is similar to /_\ B E C , prove that A D=B C .

In Figure, if A B C is an equilateral triangle. Find /_B D C\ a n d\ /_B E C

In Figure, A B C is an isosceles triangle with A B=A C\ a n d\ m\ /_A B C=50^0dot Find m\ /_B D C\ a n d\ /_B E C

In Figure, A B C D is a trapezium of area 24. 5\ c m^2 . In it, A D || B C , /_D A B=90^@ , 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) .

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

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.

In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=5c m . Find the area of /_\ E F G

In Figure, 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 Figure, If A B || C D\ a n d\ C D\ || E F , Find /_A C E .

In Figure, if /_\ A B E~= /_\A C D , prove that /_\ A D E ~ /_\ A B C .