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It is true that the distinction between rational and irrational numbers is that rational numbers can be expressed in the form 'p/q' and Irrational Numbers cannot. However, it is also crucial that both 'p' and 'q' are integers (whole numbers) in this case. Therefore, 1.5 is a rational number because it can be expressed as '3/2', and both 3 and 2 are whole numbers. The value pi is indeed defined as 'the circumference of a circle divided by the diameter of that same circle', but pi is irrational because the properties of a circle mean that at least one of these numbers is not whole. This condition alone does not prove that pi is irrational, but it turns out that it is impossible to find integer values for p and q such that pi can be written as 'p/q'.

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Q: You know pie is circumference divided by diameter it is in the form p by q then why do you call it irrational?
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Why is the circumference alsways 3.14?

The circumference is not always 3.14 , The circumference of a circle is always (pi) times as long as the circle's diameter. (Pi) is a number that can't be exactly written down with digits, that begins with 3.14 . It's defined as the ratio of any circle's circumference to the same circle's diameter. The reason is because that's one of the properties of the thing that we call a "circle".


What is the equation for circumference?

Circumference is the specific term for the length of the perimeter of a circle. The perimeter of a circle is the circumference, and to find it, we need to know the radius or diameter of the circle. (As the diameter of a circle equals twice the radius of the circle, knowing one will mean we can know the other.) If we compare circles, we will find that all circles, regardless of their size, have something in common. The something is that all circles have in common is that the ratio between the diameter of any circle and its circumference is a constant. It's always the same for any size circle. And it's an irrational number we call pi. You've heard that, and that's what it is - a ratio. It's equal to about 3.14159 or so. (We know pi is an irrational number.) To find the circumference (c) of any circle, multiply pi (π) times its diameter (d). Or, multiply 2 times its radius (r) times pi (π). Same thing. Here are the two "versions" of the formula. c = π x d or c = 2 x π x r c equals pi times d or c equals two times pi times r. A link is provided to the Wikipedia article on circumference.


Why do you call irrational numbers irrational?

Well, irrational doesn't mean "crazy" Ratios are fractions. Rational numbers are really "ratio..." numbers. like 1/3 or 45/99 or 27736644/8867564, whatever. Numbers that are not made by fractions are "non ratio" numbers (or Irrational), like e, pi, and lots more. No 22/7 is not Pi....


What irrational number can be added to pi to get a sum that is rational?

Minus pi. Or minus pi plus any rational number. Here is how you can figure this out (call your unknown number "x", and let "r" stand for any rational number):x + pi = r To solve for "x", simply subtract pi from both sides. That gives you: x = r - pi


Can a fraction be rational?

Yes it can. In fact, all real fractions are rational. Numbers are said to be rational that are ratios of the whole numbers. For example: 3/3 = 1 , therefore 1 is rational (and all other whole numbers) 2/3 = .666... , therefore .666... is rational because it is a ratio of 2 to 3. 123512/321235 also rational. There are some types of numbers, trancendental numbers, for example, for which no ratio exists. We call those numbers irrational. Famously, the number pi is the ratio between the diameter and circumfrence of a circle. There is no whole number ratio that can represent this relationship. Pi is both transendental and irrational.

Related questions

What do we call the ratio of a circle's circumference to its diameter?

Pi is the ratio of circumference to diameter. C/d=pi always!!!


What is the diameter of a circle with the circumference of fifty feet?

Circumference = pi X diameter so.......... diameter = circumference/pi 50 feet/pi = 15.92 feet call it 16 feet


How do you work out edge of a circle from diameter?

diameter X pi = circumference What you call edge is usually called circumference. pi = 3.1416


What is the entire number for pi?

c/d, where c is the circumference of a circle, and d is it's diameter. There is no way to express every individual digit of pi, as there are an infinite number of them. This the basic principle of what we call an irrational number.


What is the perimeter of a circle which has a diameter of 10 cm?

In the case of a circle, it is common to call this "circumference" instead of "perimeter". Just multiply the diameter by pi.


If the radius of a circle is 8 inches what is the perimeter?

diameter x pie = circumference remember to call it circumference idk about your teachers but mine are picky answer: 50.26 (rounded)


Why is the circumference alsways 3.14?

The circumference is not always 3.14 , The circumference of a circle is always (pi) times as long as the circle's diameter. (Pi) is a number that can't be exactly written down with digits, that begins with 3.14 . It's defined as the ratio of any circle's circumference to the same circle's diameter. The reason is because that's one of the properties of the thing that we call a "circle".


What is the equation for circumference?

Circumference is the specific term for the length of the perimeter of a circle. The perimeter of a circle is the circumference, and to find it, we need to know the radius or diameter of the circle. (As the diameter of a circle equals twice the radius of the circle, knowing one will mean we can know the other.) If we compare circles, we will find that all circles, regardless of their size, have something in common. The something is that all circles have in common is that the ratio between the diameter of any circle and its circumference is a constant. It's always the same for any size circle. And it's an irrational number we call pi. You've heard that, and that's what it is - a ratio. It's equal to about 3.14159 or so. (We know pi is an irrational number.) To find the circumference (c) of any circle, multiply pi (π) times its diameter (d). Or, multiply 2 times its radius (r) times pi (π). Same thing. Here are the two "versions" of the formula. c = π x d or c = 2 x π x r c equals pi times d or c equals two times pi times r. A link is provided to the Wikipedia article on circumference.


What is the circumference of a 31 dia circle?

Circumference = 2 * Pi * rr(radius) = diameter/2 = 31/2 = 15.5Circumference = 2 * pi * 15.5= 97.4 units==========( you could call it 97 units )


What do you call a number that can't be divided?

All numbers can be divided. But if you get a number with an infinate decimal that would be called an irrational number(the dividend, not the divisor) a number that can't be divided is a prime number. prime number


What is the circumference of a circle with a diameter of twenty one feet?

65.97344572538565800766 feet +/- Circumference = Pi x diameter 21 feet x 3.14159265358979323846 = 65.97344572538565800766 feet Of course Pi goes on for many many decimal places so the best we can do is round it off to a point we are satisfied with. Let's call it 65.97 feet.


What do you call the line that intersects the circle at two points?

A straight line that intersects a circle's circumference at two points will create a chord of which the circle's diameter is its largest chord.