2022 · Q82
An equilateral triangle of side x is inscribed in a circle of radius y. which one of the following is correct?
Elementary MathematicsCircles
- A2y = x
- B2y = √3x
- C√3y = 2x
- D√3y = x
Explanation
Circumradius R = x/√3 for an equilateral triangle of side x, so y = x/√3, i.e. x = √3y. Hence the keyed option is D.