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Asked by: Doyle Lueilwitz
Updated: 31 December 2019 08:26:00 PM

# What is the relationship between circumference and diameter?

The circumference of a circle is the distance around the outside of the circle. The diameter is the distance across the circle. It must pass through the center or the circle. For any circle, regardless of diameter, there is a consistent ratio between the circle's circumference and the length of its diameter.

## In view of this, is the relationship between circumference and diameter proportional?

One of the unique qualities of a circle is that its diameter and circumference have a proportional relationship. This means that no matter what size the circle is, the proportional relationship, or ratio, between its circumference and diameter is always the same.

## With allowance for this, what is the relationship between the diameter D and circumference C of a circle?

The ratio of the circumference, C , of any circle to its diameter d is always the same value, 3.1415926 , named using the Greek letter pi (as in apple pie), which looks like this: π .

## In addition who discovered the relationship between circumference and diameter?

It is widely believed that the great Swiss-born mathematician Leonhard Euler (1707-83) introduced the symbol π into common use.

## Do you have your own answer or clarification?

### Related questions and answers

#### What is the diameter of a round table?

What sizes do circular tables come in? Round tables range in size from two person tables with diameters of 2'6” | 76 cm, to 12 person tables with 8' | 244 cm diameters. What big is a circular table for 6 people? Round tables for six people should have an overall table diameter between 4'-4'6” | 122-137 cm.

#### What is the circumference of a 60 inch round table?

The circumference of a 60″ table is 188 inches.

#### What is the circumference of a 48 inch diameter circle?

Diameter of a Circle
Diameterincm
48.2 in151.4384.6
48.3 in151.7385.4
48.4 in152.1386.2
48.5 in152.4387.0

#### What is the circumference if the radius is 4?

The circumference of a circle is its boundary or the length of the complete one of a circle.

#### What is the circumference of the diameter is 9?

approximately 28.26 inches
Example
ProblemFind the circumference of the circle.
AnswerThe circumference is 9 or approximately 28.26 inches.

#### What is the circumference if the radius is 5?

A circle with a radius of 5 units has a circumference of 31.416 units.

#### What is the radius of the diameter is 12 m?

The diameter of a circle is the distance from one edge to the other, passing through the center. It is twice the radius.
Diameter of a Circle.
Diameterm2ft2
12.0 m113.11,217
12.1 m115.01,238
12.2 m116.91,258
12.3 m118.81,279

#### What is the radius of a 10m circle?

The diameter of a circle is the distance from one edge to the other, passing through the center. It is twice the radius.
Diameter of a Circle.
Diameterm2ft2
10.0 m78.54845.4
10.1 m80.12862.4
10.2 m81.71879.5
10.3 m83.32896.9

#### What is the circumference of the radius is 3?

Explanation: The formula for finding the circumference is 2πr . We can plug in 3 for r, getting 2π3 .

#### How do you figure out a diameter?

The radius is the length from the center of a circle to the edge. Therefore, if you know the radius, multiply it by two to determine the diameter (diameter = 2 x radius).

#### What is the area of a 6 cm circle?

28.27 square centimeters (cm²)

#### What type of number best describes the diameter of a circle?

What type of number best describes the diameter is the pi. Hence, if we describe the diameter, diameter is the quotient of pi over the circumference of a circle by itself.

#### What estimate is closest to the circumference of a circle with a radius of 10 cm?

2π10=20π cm or about 62.8 cm.

#### What's a radius and diameter?

Radius, Diameter and Circumference
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

#### What is the area of a 10 circle?

=78.5 square inches.

#### What is the radius if the diameter is 40m?

If your diameter is 40m, then your radius must be 20m, as the radius of a circle is always half of the diameter.

#### What relationship between the circumference and the diameter is suggested by your observations?

Answer: Circumference = pi * Diameter .

#### What's the radius of an 8 foot circle?

What is the area of a circle with a DIAMETER of 8 feet (radius of 4 feet)? How big is a 8 foot circle?
Area of a 8 Foot Circle.
50.265square feet
7,238.2square inches
5.5851square yards
0.0011539acres
4.6698square meters

#### What is the circumference of 5 in?

Circumference & Areas
Size in InchesCircumference InchesArea in Square Inches
515.71019.640
5 1/416.49021.650
5 1/217.28023.760
5 3/418.06025.970

#### What is the area of the radius is 8?

A circle of radius = 8 or diameter = 16 or circumference = 50.27 cm has an area of: 2.011 × 10-8 square kilometers (km²) 0.02011 square meters (m²)

#### What is the diameter of 16cm?

162=8 centimeters.

#### How do you find circumference with area?

We are given the area, and by substitution we know that 13π = πr2. We divide out the π and are left with 13 = r2. We take the square root of r to find that r = √13. We find the circumference of the circle with the formula C = 2πr.

#### What is the radius If the circumference is 6?

Finding the Circumference:
If r = 6 cm, the the circumference is c = 2π(6) = 12π cm, if writing in terms of π.

#### How do I measure a round table?

-A table's DIAMETER, which is only used for measuring round tables, can be found by measuring across the top of the table (end to end) -- from the widest part of the table. The round table pictured above has a diameter of 72 inches.

#### What is the circumference when the radius is 7?

Circumference is 2*pi*r. In this case it's 2*pi*7 = 14pi = approximately 44 inches.

#### What is the circumference of a 8 inch circle?

The circumference of a circle that has a diameter of 8 inches is 25.12 inches.

#### How do you find circumference using diameter?

Multiply the diameter by π, or 3.14. The result is the circle's circumference.