The side of a regular triangle is 4 cm. What is the radius of the circumscribed circle around it?
| December 13, 2020 | education
The area of a triangle is equal to the product of its three sides, divided by 4 the radius of the circumscribed circle. The area of a regular triangle is the side squared, multiplied by the root of 3 and divided by 4. Let a be the side of the triangle. S = a ^ 3 / (4R) = √ (3) * a ^ 2/4 => a / R = √ (3) => R = a / √ (3) R = 4 / √ (3) = ( 4/3) * √ (3)
Answer: R = (4/3) * √ (3)
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