What is 501 times pi?




501 is an integer and pi (π) is the ratio of a circle's circumference to its diameter and is best known as 3.14. However, pi is an irrational number with an infinite number of decimals: 3. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 and so on.

For most practical purposes, 501 times pi is simply 501 times 3.14 as illustrated below:

501 x 3.14 =
1573.14

You can make the answer more accurate by using more decimals of pi. For example, here is 501 times pi with 12 decimal numbers:

501 x 3.141592653589 =
1573.93791944809


If 501 is the diameter of a circle, then 501 times pi is the circumference of that same circle. See definitions and explanations below to find out why!


Definitions

The radius (r) of a circle is the distance from the center of the circle to the edge of the circle. The diameter (d) of a circle is the distance from one point on a circle through the center to another point on the circle. In other words, 2 times the radius equals the diameter.

Like we said above, pi is the ratio of a circle's circumference to its diameter. Therefore, we can use pi to calculate the area and circumference of a circle.


Area

The formula to calculate the area of a circle is πr^2 (pi times radius squared). If 501 is the radius, then the area of the circle is pi times 501 squared:

3.14 x 501^2 =
1573.93791944809

If 501 is the diameter, then you first have to divide 501 by 2 to get the radius and then calculate pi times radius squared:

501 / 2 = 250.5
3.14 x 250.5^2 =
197035.785


Circumference

The formula to calculate the circumference is 2πr (2 times pi times radius). If 501 is the radius, then the circumference of the circle is 2 times pi times 501:

2 x 3.14 x 501 =
3146.28

If 501 is the diameter, then you first have to divide 501 by 2 to get the radius and then calculate 2 times pi times radius:

501 / 2 = 250.5
2 x 3.14 x 250.5 =
1573.14

Note: Instead of dividing 501 by 2 above, you could also have simplified the formula because 2 times pi times radius is the same as pi times diameter. Thus, like we said at the top of this page, 501 times pi is the circumference of the circle if 501 is the diameter.



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What is 502 times pi?
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