Find the ratio of the circumference of a circle to its diameter.
Diameter of a circle is the largest chord that is passing through the centre.
The circumference of a circle is the distance around the boundary of the circle.
Answer: The ratio of the circumference of a circle to its diameter is π : 1
Let's look into the relationship between circumference of a circle and diameter.
Explanation:
Consider a circle with radius 'r' units and diameter 'd' units.
Let the circumference be 'C'
Circumference of a circle is given as,
C = 2 π r
=> C = πd (since, 2r = d) ------------------------- (1)
The ratio of the circumference of a circle to its diameter = C / d
= πd / d (from equation(1))
= π / 1
Thus, the ratio of the circumference of a circle to its diameter is π : 1
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