A wire bent in the form of an equilateral triangle encloses an area of 121 under root 3 cm square. If the wire is bent in the form of a circle, find the area enclosed by circle
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Answer:
346.5 sq. cm.
Step-by-step explanation:
Area of equilateral triangle =
Where a is the side of the triangle
We are given that area of equilateral triangle is
So,
Perimeter of equilateral triangle =
=
=
Now the wire which formed triangle is bent in the form of a circle.
Circumference of circle =
So,
Area of circle =
=
=
Hence the area enclosed by circle is 346.5 sq. cm.
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