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