Find a polar equation for the curve represented by the given Cartesian equation. x^{2}+y^{2}=100

babeeb0oL

babeeb0oL

Answered question

2021-05-13

Find a polar equation for the curve represented by the given Cartesian equation.
x2+y2=100

Answer & Explanation

SkladanH

SkladanH

Skilled2021-05-14Added 80 answers

Step 1
Here given cartesian equation
x2+y2=102
it is an equation of the circle with radius 10.
Step 2
Put
x=rcos0
y=rsin0
Thus
(rcos0)2+(rsin0)2=100
r2(cos20+sin20)=100
r2=100
r=±10
Thus the polar equation of the circle is
r = 10 or r = - 10
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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