Question

The area of the circumcircle of an equilateral triangle is 3π cm². The perimeter of the triangle is:

A 5 cm Correct Answer Incorrect Answer
B 9 cm Correct Answer Incorrect Answer
C 8 cm Correct Answer Incorrect Answer
D 6 cm Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let side of an equilateral triangle = a cm ∴  circumcircle radius = a/√3 cm ∴  area of circumcircle = π(a/ √3)2 => πa2/3 = 3π ⇒  a2 = 9 ⇒  ∴ a  = 3 cm ∴  Perimeter = 3 × a = 9 cm

Practice Next

Relevant for Exams:

×
×