# Radius of a circle from circumference

Another
important ratio, radius to diameter, can also be used to calculate the
circumference. One-half of a circle's diameter is known as the radius. As a
result, we may use the replacement attribute of equality to replace radius, r,
in our formulae. We can substitute diameter with 2r if two radii are equivalent
to one diameter.

The commutative property of
multiplication allows us to transfer values around as well. The following four
equations are interchangeable:

C= π d

C = π (2r)

C = 2 πr

Understand this concept by
practice with an example.

**Example: A national team
field's striking circle is a quarter-circle with a 32-yard radius, followed by
a four-yard straight line and another quarter circle. Two of these eye-catching
circles can be found on the pitch. You only have enough chalk left to form a
222-yard line after marking all the straight lines with chalk.**

**Solution:**

Add the two, four-yard straight
sections to the circle's circumference to get the total length.

Consider your options before
taking a glance!

Four quarter-circles equal one
32-yard-radius circle. Then, for the two straight sections, add sixteen yards.

C=πd

C=2πr

C=2 x 3.14159 x 32yards

C = 2 x 3.14159 x 32 yards

C = 200.96 yards

Combine the two following:
200.96 yards+ 16 yards=216.96 yards

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