The ratio of circumference and diameter of a circle is 3 : 5. If the circumference is 6 cm, then what is the radius of the circle?

Question

Accepted Answer

Given the ratio of circumference to diameter is 3:5, let circumference = 3x and diameter = 5x.

We know circumference = 6 cm, so 3x = 6 => x = 2.

Diameter = 5x = 5 * 2 = 10 cm.

Radius = Diameter / 2 = 10 / 2 = 5 cm.

However, this contradicts the given options and the ratio of circumference to diameter for a circle is always π (approximately 3.1416), which is close to 3.14, not 3/5 = 0.6.

Since the problem states the ratio of circumference to diameter is 3:5, which is 0.6, this is not the standard ratio for a circle, but we proceed as per the question.

Using the ratio, circumference / diameter = 3/5 = 0.6.

Given circumference = 6 cm, diameter = circumference / 0.6 = 6 / 0.6 = 10 cm.

Radius = diameter / 2 = 10 / 2 = 5 cm.

Therefore, the radius is 5 cm.

The correct answer is 5 cm, option 3.

Answer

Answer

Answer