Multiple choice

Construct an equilateral triangle of side $6 cm$. Construct the circumcentre of it. Then the measure of radius is :

  1. $4\sqrt 3$
  2. $\sqrt 3$
  3. $2\sqrt 3$
  4. $3\sqrt 3$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For an equilateral triangle with side length a, the circumradius R is given by R = a / sqrt(3). With a = 6, R = 6 / sqrt(3) = 2*sqrt(3).

AI explanation

The radius of the circumcircle of an equilateral triangle is given by the formula R = side / sqrt(3). For a side length of 6 cm, the calculation is R = 6 / sqrt(3) = 2sqrt(3) cm. Therefore, the measure of the radius is 2sqrt(3).

Keep practicing — related questions