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Mathematics
Mathematics
Problem
The curve
x
(
t
)
=
k
cos
t
x(t)=k\cos t
x
(
t
)
=
k
cos
t
and
y
(
t
)
=
k
sin
t
y(t)=k\sin t
y
(
t
)
=
k
sin
t
traces a circle of radius
k
k
k
for
0
≤
t
≤
π
2
0\le t\le \dfrac{\pi}{2}
0
≤
t
≤
2
π
. If the length of the curve over this interval is
5
5
5
, determine the value of
k
k
k
.
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