image imagewidth (px) 139 1.6k | problem stringlengths 13 234 | answer stringlengths 1 34 | text_logic_form listlengths 1 11 | diagram_logic_form listlengths 0 456 | line_instances listlengths 1 110 | point_positions stringlengths 2 551 | circle_instances listlengths 0 4 | code stringlengths 31 9.49k | rendered_image imagewidth (px) 204 780 |
|---|---|---|---|---|---|---|---|---|---|
<image>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $P A=7,$ find $P G$ | 14 | [
"IsDiameterOf(Line(D,F),Circle(A))",
"IsDiameterOf(Line(P,G),Circle(A))",
"Equals(LengthOf(Line(P,A)),7)",
"Find(LengthOf(Line(P,G)))"
] | [
"PointLiesOnLine(A, Line(G, P))",
"PointLiesOnLine(A, Line(F, D))",
"PointLiesOnCircle(G, Circle(A, radius_1_0))",
"PointLiesOnCircle(F, Circle(A, radius_1_0))",
"PointLiesOnCircle(D, Circle(A, radius_1_0))",
"PointLiesOnCircle(P, Circle(A, radius_1_0))",
"PointLiesOnCircle(L, Circle(A, radius_1_0))"
] | [
"GA",
"GP",
"AF",
"AD",
"AP",
"AL",
"FD"
] | {"G": [98.45811592466737, 238.6197890000978], "A": [122.08400061522207, 121.94295365381038], "F": [213.04859346053183, 200.1969310392661], "D": [28.932569506807184, 44.7871688847781], "P": [144.00237329659637, 1.9876691763797254], "L": [8.224553921001288, 158.30247038070297]} | [
"A"
] | import matplotlib.pyplot as plt
import matplotlib.patches as patches
from matplotlib.patches import Arc
import numpy as np
fig, ax = plt.subplots(figsize=(5, 5))
# Define key points
A = (0.5851, 0.6000)
D = (0.1960, 0.2716)
F = (0.9742, 0.9284)
G = (0.4888, 1.1000)
L = (0.1000, 0.7548)
P = (0.6813, 0.1000)
# Draw ci... |
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