SBI PO 2019 · Question 3 of 6

If the ratio of areas of an equilateral triangle to a circle is √3:16π, what is the ratio of side length of the equilateral triangle to the radius of the circle?

Mensuration - Triangle and Circle

A2:3
B1:2Correct
C1:1
D3:4
E1:3

Answer: B. 1:2

Explanation

Area of equilateral triangle = (√3/4) * (side)². Area of circle = π * (radius)². (√3/4)(side)² / (πr²) = √3/(16π). => (side)² / (radius)² = 4/16 = 1/4 => side/radius = 1/2. So, Option 2 is the correct answer.

Source: SBI PO Memory Based Question Papers (Oliveboard sneak peek) · memory-based

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