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Q.

A wire is bent in the shape of an equilateral triangle of side 8.8cm and is re-bent in the shape of a circle of diameter [[1]]cm.

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answer is 8.4.

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Detailed Solution

A wire is bent in the shape of an equilateral triangle of side 8.8cm and is re-bent in the shape of a circle of diameter 8.4cm.
We know that both equilateral triangles and circles are made from the same length of wire so they will have the same perimeter.
The perimeter of an equilateral triangle is equal to

3 × s i d e

and the perimeter of a circle is

2 π r

.

3 × s i d e = 2 π r

3 × 8.8 = 2 × 227 × r

r = 4.2

We know that diameter is twice of radius, so the diameter is 8.4cm.
Hence, the correct answer is 8.4cm.

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