Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches two pieces. Find the area of the portion enclosed between these pieces.

Three circles of raidus 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles ? (In sq. cm)

Three circles of radius 3.5 cm each are placed in such a way that each touches the other two. The area of the portion enclosed by the circles is

From a square sheet of side 8 cm , a piece of a paper width 2 cm is removed along the border. Then find the area of the removed piece of paper.

From a circular piece of cardboard of radius 3 cm two sectors of 90^@ have been cut off. Find the perimeter of the remaining portion nearest hundredth centimeters (Take pi = 22/7 ).

Max is given a 3 xx 3 chessboard. Max is asked to place 2 black rooks, 2 white knights and 1 white bishop on this board in such a way that: a. each piece threatens one or more pieces of the opponent b. each piece is protected by another piece of its own colour c. each piece (except the black queen is under attack by some opponent piece Let the pieces be assigned numbers as follows: Queen=9, Knight=3, Bishop=3, Rook=5 on black squares and respective negative values on white squares. Find out the ‘sum’ of all pieces in the arranged position.

A piece of paper was cut into four pieces. What type of change occurred in the property of the paper?

From a cubical piece of wood of side 21 cm, a hemisphere is carved out in such a way that the diameter of the hemisphere is equal to the side of the cubical piece. Find the surface area and volume of the remining piece.

A piece of wire 7/(8) metre long broke into 2 pieces. One piece was 1/(4) metre long. Find the length of the other piece.