6. A wire is in the shape of a circle of radius 21 cm. It is bent in the form of a square. The side of the square is { use π = 22/7 } (a) 22 cm (b) 44 cm (c) 66 cm (d) 33 cm
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Answer:
length of wire =circumference of
circle
=2Rr
=2×22/7×42=46c cm
length of wire =perimeter of square
264= 4a
so a =264/4=66cm
side of equation =66cm
Step-by-step explanation:
tq
Answer:
d) 33 cm
Step-by-step explanation:
Given that a wire is in the shape of a circle of radius 21 cm. It is bent in the form of a square. We need to find out the side of the square.
Let's say that the side of the square is x.
Since, a wire which is in the shape of circle is bent to form a square then it's perimeter (perimeter of circle) will be equal to perimeter of square.
Perimeter of circle = Perimeter of square
2πr = Perimeter of square
Given value of radius is 21 cm and π is 22/7. Substitute the values,
2 × 22/7 × 21 = Perimeter of square
44 × 3 = Perimeter of square
132 = Perimeter of square
And we know that, perimeter of square is square of side.
So,
Perimeter of square = 4(side)
132 = 4(side)
side = 132/4
side = 33
Therefore, the side of the square is 33 cm.