Math, asked by dt1, 1 year ago

An equilateral triangle of length 6cm is inscribed in a circle. find the radius of the circle

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Answered by shiv155

as we know that the every angle in equals. triangle is 60°. then the radius if given triangle is 3m

dt1: tell how did uh get that ans?

dt1: yeah

shiv155: by the same way.

SquareRoot256: Let any one side be a chord of the circle. Then, angle at the circumference (60 deg) is half the angle at the center

SquareRoot256: That means angle at the center is 120 degrees. After that drop a perpendicular onto the chord. You will get a right angle triangle with angle at the centre half of 120, 60 deg

SquareRoot256: Finally use trigonometry (sin60) to get the radius

SquareRoot256: You cannot get that answer in the same way

shiv155: yes I have the answer,thanks for this.

SquareRoot256: No problem.

shiv155: ok

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An equilateral triangle of length​ 6cm is inscribed in a circle. find the radius of the circle

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An equilateral triangle of length 6cm is inscribed in a circle. find the radius of the circle