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A wire is in the form of circle ofradius 35m. I now it is bent into equilateral triangle. Find the area of triangle.
Most Upvoted Answer
A wire is in the form of circle ofradius 35m. I now it is bent into eq...
Area of equilateral triangle = circumference of circle = 2πr
= 2*22/7*35
=220m^2
Community Answer
A wire is in the form of circle ofradius 35m. I now it is bent into eq...
Problem:
A wire is in the form of a circle with a radius of 35m. It is then bent into an equilateral triangle. Find the area of the triangle.

Solution:

To find the area of the equilateral triangle, we need to determine the side length of the triangle first.

Step 1: Find the perimeter of the circle
The perimeter of a circle is given by the formula P = 2πr, where r is the radius of the circle. In this case, the radius is 35m, so the perimeter of the circle is:

P = 2π(35m) = 70πm

Step 2: Find the side length of the equilateral triangle
An equilateral triangle has all sides of equal length. So, the perimeter of the equilateral triangle will be equal to the perimeter of the circle:

Perimeter of equilateral triangle = 70πm

Since an equilateral triangle has 3 sides, the length of each side can be found by dividing the perimeter by 3:

Side length of equilateral triangle = (70πm) / 3

Step 3: Find the area of the equilateral triangle
The area of an equilateral triangle can be calculated using the formula A = (√3/4) * s^2, where s is the side length of the triangle.

Plugging in the value for the side length from Step 2, we get:

A = (√3/4) * [(70πm) / 3]^2

Simplifying this expression will give us the area of the equilateral triangle.

Conclusion:
The area of the equilateral triangle formed by bending the wire in the form of a circle with a radius of 35m can be calculated by following the steps mentioned above.
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A wire is in the form of circle ofradius 35m. I now it is bent into equilateral triangle. Find the area of triangle. Related: Area of a Triangle, Perimeter and Area, Class 7 Math
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