Question

A piece of wire is bent into an equilateral triangle of side the wire is then bent into a circle. Find the radius of the circle. Also find area of the circle

Answer 1

Answer:

⇒13.86cm sq

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A piece of wire is bent in the shape of an equilateral triangle of side 4.4 cm. If this wire is rebent to form of a circle, find the radius and the area of the circle.

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Solution

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Length of wire = perimeter of △

=3×4.4⇒13.2cm

Now, the circumference of circle = length of wire

2πr=13.2

r=

2×π

13.2

r=2.1cm

Area of circle ⇒πr

2

⇒π×(2.1)

2

⇒13.86cm

2