# Analyze how the circumference of a circle would change if the diameter is doubled. Provide an example to support your explanations?

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The circumference of a circle of diameter D is πD.

Since π is a constant, the circumference of circle is directly proportional to the diameter of the circle.* If we change the diameter by k times, then the circumference will change by k times.*

For example, consider a circle with diameter 7 cm.

circumference = πD = (22/7)× 7 = 22cm

now make diameter twice or D = 2×7 = 14cm

new circumference = πD = (22/7)×14 = 44cm which is twice of previous circumference. So the circumference also became twice when diameter became twice.

Since π is a constant, the circumference of circle is directly proportional to the diameter of the circle.

For example, consider a circle with diameter 7 cm.

circumference = πD = (22/7)× 7 = 22cm

now make diameter twice or D = 2×7 = 14cm

new circumference = πD = (22/7)×14 = 44cm which is twice of previous circumference. So the circumference also became twice when diameter became twice.

where x is redius ,and when we x mean 2x then the result is 2*2.

example:-a circle with redius 4 m then circumference is =216=100.48 and if we double then it is 8 m redius then circumference is=264=401.92