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Let us estimate the value of Pi.
Throw 100 darts at 1x1 square with 1/4 of unit circle in it. Count hits outside the circle:
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
1
.
0
[1]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
2
.
0
[2]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
2
.
0
[3]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
4
.
0
[4]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
4
.
0
[5]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
5
.
0
[6]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
6
.
0
[7]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
6
.
0
[8]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
7
.
0
[9]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
8
.
0
[10]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
8
.
0
[11]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
9
.
0
[12]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
9
.
0
[13]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
10
.
0
[14]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
10
.
0
[15]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
11
.
0
[16]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
11
.
0
[17]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
11
.
0
[18]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
12
.
0
[19]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
12
.
0
[20]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
12
.
0
[21]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
13
.
0
[22]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
16
.
0
[23]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
16
.
0
[24]
ans
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
+
int
(
rand
*
*
2
+
rand
*
*
2
)
=
17
.
0
[25]
4
*
(
1
-
ans
/
100
)
=
3
.
32
[26]
Now hit the reload button of your browser repeatedly.
You should see the value of expression [26] fluctuate around 3.14.
CalculatorPi.com
1
2
3
+
π
sin
asin
(
)
4
5
6
−
e
cos
acos
exp
←
7
8
9
×
g
tan
atan
ln
,
•
0
E
∕
R
rad
deg
log(a,b)
ans
y
x
√
abs
round
N
rand
fact
mod(a,b)
CLR
Batch edit
Let us estimate the value of Pi. Throw 100 darts at 1x1 square with 1/4 of unit circle in it. Count hits outside the circle: int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) ans + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) + int(rand**2 + rand**2) 4 * (1 - ans / 100) Now hit the reload button of your browser repeatedly. You should see the value of expression [26] fluctuate around 3.14.
This months's formula: basic two vector operations.
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Batch edit