382
PROGRAM SHEET
Program for
Circle and Tangents
Description
Formula for circle:
x
2
+ y
2
= r
2
Formula for tangent line passing
through point A (x', y'):
y – y' = m (x – x')
*
m represents the slope of the
tangent line
With this program, slope m and intercept b (= y' – mx') are obtained for lines drawn from point
A (x', y') and are tangent to a circle with a radius of r. The trace function is used to read out the
coordinates at the points of tangency, and factor zoom is used to enlarge the graph.
Example
To determine m and b for the following values:
r = 1
x' = 3
y' = 2
Notes
• The point plotted for A cannot be moved. Even if it is moved on the graph, the calculation is
performed using the original value.
• An error (Ma ERROR) occurs when r = x'.
• Be sure to always perform a trace operation whenever you select trace and the message
TRACE is on the display.
Preparation and operation
• Store the program written on the next page.
• Execute the program as shown below.
No.
4
0
X
Y
A
(x',y')
r
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
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