Arc Length of Smooth, Planar Curve
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
How do you express arc length in polar coordinates from
θ
=
a
\theta = a
θ
=
a
to
θ
=
b
\theta = b
θ
=
b
?
QUESTION
Identify the expression for the arc length of a curve
x
=
g
(
y
)
x = g(y)
x
=
g
(
y
)
from
y
=
c
y = c
y
=
c
to
y
=
d
y = d
y
=
d
.
QUESTION
What is the relationship between curvature and radius of curvature?
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ANSWER
R
=
1
κ
R = \frac{1}{\kappa}
R
=
κ
1
. Curvature and radius of curvature are reciprocals of each other.
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