What is the distance between the following polar coordinates?: (12,

Racetovb4j

Racetovb4j

Answered question

2022-02-04

What is the distance between the following polar coordinates?: (12,π8),(8,5π8)

Answer & Explanation

Nathen Lamb

Nathen Lamb

Beginner2022-02-05Added 13 answers

Distance d14.4222
Explanation:
Distance between tow points knowing the polar coordinates is given by the formula using cosine rule
d=r12+r222r1r2cos(θ2θ1)
Given r1=12,r2=8,θ1=(π8)c,θ2=(5π8)c
d=122±82(2128cos(5π8π8))
d=208+192cos(π2)14.4222,as cos(π2)=0

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?