WORD PROBLEMS ON CONVERSION AS ONE SHAPE TO ANOTHER WORKSHEET

Problem 1 :

A steel wire when bent in the form of a square encloses an area of 121 sq. cm. If the same wire is bent into the form of a circle, find the area of the circle.

Solution

Problem 2 :

A wire when bent in the form of an equilateral triangle encloses an area of 121 √3 cm². If the same wire is bent in the form of a circle, find the area of the circle

Solution

Problem 3 :

A wire is bent to form a circle of radius 35 cm. if it is bent in the form of a square, then what will be its area ?

Solution

Problem 4 :

The length of a wire in the form of an equilateral triangle is 44 cm. If it is rebent into the form of a circle, then area of the circle is :

(a) 484 cm²     (b) 176 cm²     (c) 154 cm²     (d) 144 cm²

Solution

Problem 5 :

If a wire is bent into the shape of a square, then the area enclosed by the square is 81 cm². When the same wire is bent into a semi-circular shape, then the area enclosed by the semi circle will be :

Solution

Problem 6 :

A wire is in the shape of a circle of radius 21 cm. It is bent to form a square. The side of the square

Solution

Problem 7 :

A piece of wire that has been bent in the form of a semicircle including the bounding diameter is straightened and then bent in the form the of a square. The diameter of the semicircle is 14 cm. Which has a larger area, the semi-circle or the square? Also, find the difference between them.

Solution