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Find the radius of the circumradius of an equilateral triangle of side 4 cm ?
- a)√3 cm
- b)4/√3 cm
- c)3√3 cm
- d)√3/2 cm
Correct answer is option 'B'. Can you explain this answer?
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Find the radius of the circumradius of an equilateral triangle of side...
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Find the radius of the circumradius of an equilateral triangle of side...
The radius of the circumcircle of an equilateral triangle can be found using the formula:
R = a / (√3)
where R is the circumradius and a is the length of one side of the equilateral triangle.
In this case, the length of one side is 4 cm, so:
R = 4 cm / (√3)
To simplify, multiply the numerator and denominator by (√3):
R = (4 cm * √3) / (√3 * √3)
R = (4 cm * √3) / 3
Therefore, the radius of the circumcircle is (4 cm * √3) / 3 cm.
R = a / (√3)
where R is the circumradius and a is the length of one side of the equilateral triangle.
In this case, the length of one side is 4 cm, so:
R = 4 cm / (√3)
To simplify, multiply the numerator and denominator by (√3):
R = (4 cm * √3) / (√3 * √3)
R = (4 cm * √3) / 3
Therefore, the radius of the circumcircle is (4 cm * √3) / 3 cm.
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Find the radius of the circumradius of an equilateral triangle of side 4 cm ?a)√3 cmb)4/√3 cmc)3√3 cmd)√3/2 cmCorrect answer is option 'B'. Can you explain this answer?
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