A piece of wire is bent in the shape of a square of side 11cm.It is rebent to 3
form a circular ringt.What is the diameter of the ring.
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★Given :
- A piece of wire is bent in the shape of a square.
- Side of a Square = 11 cm
- It is re-bent into a circular ring.
★To find :
- Diameter of the ring.
★Solution :
First, we'll find the length of the wire.To do that we'll find the perimeter of the given square.
We know,
✦Perimeter of a square = 4 × side
Substituting values,
→ Perimeter = 4 × 11
→ P = 44 cm
Circumference of circle = 2πr.
We know,
Radius = diameter/2
∴Circumference = πD
Now the wire of same length is Bent to form circular ring.Therefore,
The perimeter of the ring would be same as that of the square.
∴ Perimeter of circle = perimeter of square
→ πD = 44
→22/7 × D = 44
→D = 44 × 7/22
→D = 2 × 7
→D = 14 cm
Hence,the diameter of the circle is 14cm.
____________
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Answer:
44=2πr
44/2×22/7 =r
r=44×7/2×22
r=7
Diameter is 7×2 =14 c.m
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