The Radius Of The Circumscribed Circle - Casio fx-3650P Programming Manual
Programmable scientific calculator
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18
The radius of the Circumscribed circle
The law of sines：For △
diagram on the right, the following formula holds:
a
b
---------- -
=
---------- -
=
sin
A
sin
B
It is thereby possible, by the law of cosines and law of
sines, to calculate the radius of the circumscribed
circle given the lengths of the three sides of the
triangle.
R
=
-------------------------------------------------------------
cos B
2
sin
1 –
ON
MODE
MODE
？→ Ａ：？→ Ｂ：？→ Ｃ：ｓｉｎ ｃｏｓ
Ａ ÷２ Ｄ → Ｍ：Ｍ ＜ 41 STEP ＞
OUTPUT
Ｍ : the radius of the circumscribed circle
For a triangle with sides if length 3, 4 and 5, the radius of the circumscribed circle is 2.5:
Prog
1
3
EXE
4
EXE
5
EXE
ABC
, as shown in the
c
-----------
=
2R
sin
C
A
2
2
2
+
C
–
A
-------------------------------
2BC
PRGM
MODE
COMP
1
1
MODE
－１
２
２
（ （Ｂ
＋ Ｃ
S A
S A
S A
&&&&&&&&&
S A
M
C
a
R
B
A
c
1
２
－ Ａ
）÷２ ＢＣ）→ Ｄ：
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
b
G
G
G
&&
G
27
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