How to find circumference of a circle with diameter

Circumference of a circle is the distance around the circle and the diameter over circle is the line segment of a circle is the line segment used and point lies on the circle and that pass through the center of the circle so yellow lines in the diagram will be the diameter of the circle because gives and points lies on the and it passes through the center of the circle so a line segment like this is called the diameter of the circle.

Circumference to diameter:

The ratio of circumference to diameter is derived from the conventional definition of Pi (π).

C=π d

Eliminate d by both sides

C/ d=π

We can get a value that is proximately comparable to both sides of the equation

(C=π d) by the diameter d. C represents circumference and d represents diameter.

This indicates that

d=C/π

We can use it to find diameter if we know circumference since circumference and diameter are related by Pi (π). To isolate diameter d, on one side of the equation, we conduct some math:

C=π d

C/π = d

The diameter is then determined by dividing the circumference by Pi (π).

we understand this concept by an example:

Example: A Dome of a building is surrounded by a 63-foot-circumference circle. The Dome of a building has a diameter of what?

Solution

Circumference of Dome = 63 feet

Diameter of Dome=?

By using a circumference formula

C=π d

d=C/π

d=

d= 20.06feet

The pitcher's mound circle has a diameter of 20.06 feet.

If we know the diameter, we can use the above relation to get the circumference.

Understand this concept with some problems:

Problem: The distance around the equator of Uranus is about 160.535 km. what is the equatorial diameter of Uranus?

Solution:

Step 1. According to the given data,

Uranus’s circumference=160.535km

Equatorial diameter of Uranus =?

Step 2:The formula used in this problem is

d=C/π

Step 3: Substituting the values in formula

d=160.535/π=51100km

Step 4: as a result, the equatorial diameter of Uranus is 51100km.

Problem: A circular swimming pool has a diameter of 7 yards. Work out the circumference of the circular swimming pool?

Solution:

Step 1: Write the given data

Circular swimming pool’s diameter =7 yards

Circumference of a circular swimming pool=?

Step 2: The formula used in this problem is

C =π d

Step 3:Substituting the values in the formula

C=22/7

C=22 yards

Step 4:

Hence, the circumference of a circular pool is 22 yards having a diameter of 7 yards.