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Q: Why is the ratio of the circumference and diameter of a circle an irrational number?

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The circumference of a circle divided by its diameter is equal to pi which is an irrational number.

No because the circumference of a circle is pi times diameter and pi is an irrational number

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The circumference of a circle when divided by its diameter is the value of pi which is an irrational number.

This ratio is known as pi which is an irrational number approx = 3.14159265

Yes if the diameter is rational. But it need not be if the diameter is irrational. If the diameter is 3/pi units, for example, then the circumference will be (3/pi)*pi = 3 units.

That's the number pi, and yes, it is irrational.

The circumference of any circle is the irrational number "pi" (very approximately 3.1418) times the diameter of the circle.

The circumference is Pi multiplied by the diameter. In this case, the circumference is 18Pi. We can only approximate this since Pi is an irrational number. The circumference is about 56.55 inches.

The circumference of any circle divided by the diameter is pi. Pi is approximately 3.14159....It is an irrational number, never terminates or repeats.

The diameter of a circle can be divided into the circumference of a circle pi times. The number pi is about 3.14 in decimal form. Because pi is an irrational number, it cannot be written as a fraction of integers or as a terminal or repeating decimal. The circumference of a circle is said to be pi times the diameter, so by dividing the diameter into the circumference, we would get pi as a quotient.

The circumference of a circle divided by its diameter is the value of pi which is an irrational number.

The value of pi is a circle's circumference divided by its diameter and pi is an irrational number.

The value of pi is an irrational number. Pi is the ratio of the circumference of a circle to the circle's diameter. Also, π is a transcendental number.

The circumference of any circle divided by its diameter is the value of pi which is an irrational number.

It is a transcendental number, which is a kind of irrational number. It is the ratio of the circumference of a circle to its diameter and is approximately 3.14159

Since circumference is proportional to the diameter (the proportionality is the definition of the irrational number pi) and the radius is just twice the diameter, if you triple the radius, you also triple the circumference.

It is pi because a circle's circumference divided by its diameter is the value of pi which is an irrational number that can't be expressed as a fraction.

It is the first three digits of pi which is the value of a circle's circumference divided by its diameter and it is an irrational number.

The value of pi is a circle's circumference divided by its diameter which is an irrational number meaning its number is infinite.

The ratio is called pi and it is an irrational number which is approx equal to 3.14159

The circumference of a circle when divided by its diameter is the value of pi which is an irrational number that can't be expressed as an exact fraction.

A circle's circumference when divided by its diameter is the value of pi which is an irrational number because it can't be exactly expressed as a fraction.

(Circumference) divided by (diameter) = (pi) (Circumference) = (diameter) times (pi) (Diameter) = (circumference) divided by (pi) (pi) = an irrational number, approximately = 3.14 or 22/7 .

That's just the way it worked out. Pi is the ratio of the circumference of a circle to its diameter, and it just worked out that this ratio is an irrational number.