In converting r = 5 from a polar equation to a rectangular equation, describe what should be done to both sides of the equation and why this should be done.

vestirme4

vestirme4

Answered question

2021-05-19

In converting r=5 from a polar equation to a rectangular equation, describe what should be done to both sides of the equation and why this should be done.

Answer & Explanation

sovienesY

sovienesY

Skilled2021-05-20Added 89 answers

Step 1
Given:
r=5
Step 2
Concept:
The relationship between the polar and rectangular coordinates is:
x=rcos0
y=rsin0
Then,
x2+y2=r2cos20+r2sin20
x2+y2=r2(cos20+sin20)
x2+y2=r2(1)
x2+y2=r2
Step 3
Solution:
r=5
Squaring both sides:
r2=52
x2+y2
=52
[x2+y2=r2]
It is the equation of circle with radius 5 and center (0, 0)
Step 4
Answer:
x2+y2=52

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