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How to Calculate Diameter from Circumference.
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How to Calculate Diameter from Circumference.

Rosemary Njeri

What is a Diameter?

Prior to discussing how to calculate diameter from circumference, let us define a diameter. Diameter is a chord or a straight line segment that runs through the center point of any circle and touches two points on the circumference of a circle. It is the longest possible chord of any circle.

Additionally, a circle’s diameter essentially splits the shape in half.

What is a Circumference?

Circumference of a circle or perimeter of a circle is the length of the complete arc of a circle. That is, the circumference would be the length of the circle if it were opened up and straightened out to a line segment.

In addition, circumference is represented by the uppercase letter C and it is measured in terms of units of length like centimeters, meters, or kilometers.

Formula to Calculate Diameter (d) from Circumference (C).

How to Calculate Diameter from Circumference.

Example 1:

Calculate the diameter of a circle whose C is 154 cm.

How to Calculate Diameter from Circumference.

Hence, the diameter is 49cm.

Example 2:

Calculate the diameter of a bicycle wheel if its C is 2155 mm.

d = C ÷ π

= 2155 ÷ 3.142

Therefore, the circumference of the wheel is 685.87 mm

Example 3:

Suppose a merry-go-round has a circumference of 78.5 feet. Calculate its diameter.

d = C ÷ π

= 78.5 ÷ 3.142

= 24.98 ft

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