Circumference of a circle with diameter
We can find the radius of a circle by measuring the
distance from its center to its outside edge. Consider a clock: if one of the
hands was long enough to reach the edge of the dial, this hand could be
considered the clock's radius – regardless of the time!
The diameter of a circle is measured from edge to edge
and cuts through the center, whereas the radius is measured from center to
edge. The diameter of a circle divides the shape in half. The radius of a
circle is half the length of its diameter (or the diameter of a circle is twice
the radius).
The radius of a circle is defined as the length from the
center of the circle to any point on the circle boundary line of a circle.
As we know that the diameter is twice the length of the
radius. Mathematically, it is written as
Diameter=2×radius
D=2r
Circumference of circle is also written as
Circumference of a circle=π
d
By substituting
C=2πr
Example: What is the circumference of a circle having a
radius of 10units?
Solution: Given radius=10 units
By using formula
Circumference of circle formula=2πr
C=2πr
C=23.1410
C=62.8units
Hence, the circumference of a circle is 62.8 units.
The distance around the perimeters of a circle is known as the circumference of a circle. The length of the edge around a circle is known as the circumference of the circle. To further understand this notion, consider the following diagram. Consider the example of a circular playground in the …
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The radius 'r' of a circle and the value of 'pi' are used in the formula for calculating the circumference of a circle. Circumference of a circle formula = 2r is one way to express it. If we don't know the radius value, we can use the diameter to find …
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