find the distance between (5, 3π/2 , 0) and(5, π/2 , 10) in cylindrical coordinates
Answers
Answered by
2
Explanation:
hey there is answer !
Explanation:
We convert the polar coordinates
(
r
,
θ
)
into rectangular coordinates
(
x
,
y
)
(
r
,
θ
)
,
⇒
,
(
x
,
y
)
=
(
r
cos
θ
,
r
sin
θ
)
(
2
,
1
3
π
)
,
⇒
,
(
2
cos
(
1
3
π
)
,
2
sin
(
1
3
π
)
)
=
(
1
,
√
3
)
and
(
5
,
2
3
π
)
,
⇒
,
(
5
cos
(
2
3
π
)
,
5
sin
(
2
3
π
)
)
=
(
−
5
2
,
5
2
√
3
)
The distance is between
(
1
,
√
3
)
and
(
−
5
2
,
5
2
√
3
)
d
=
√
(
−
5
2
−
1
)
2
+
(
5
2
√
3
−
√
3
)
2
=
√
49
4
+
27
4
=
8.72
2
=
4.36
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