What is the distance between the following polar coordinates?: <mstyle displaystyle="true">

kazue72949lard

kazue72949lard

Answered question

2022-05-12

What is the distance between the following polar coordinates?: ( 5 , 3 π 4 ) , ( 1 , 9 π 8 )

Answer & Explanation

erlanpb8cj

erlanpb8cj

Beginner2022-05-13Added 14 answers

Step 1
The polar coordinates ( 5 , 3 π 4 ) and ( 1 , 9 π 8 )
in rectangular coordinates are
( 5 cos ( 3 p 4 ) , 5 sin ( 3 p 4 ) i.e. ( - 5 2 , 5 2 ) or ( - 3.5355 , 3.5355 )
and ( cos ( 9 p 8 ) , sin ( 9 p 8 ) ) i.e. ( - 0.9239 , - 0.3827 )
Hence distance between two is
( - 3.5355 + 0.9239 ) 2 + ( 3.5355 + 0.3827 ) 2
2.6116 2 + 3.9182 2
6.82045456 + 15.35229124
22.1727458
4.71

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