Grade 12 · Algebra & functions

Polar and rectangular conversion practice

Polar and rectangular conversion is a grade 12 math skill: convert between polar and rectangular coordinate representations of points and simple curves. Below are 3 practice questions with answers and step-by-step explanations, drawn from the 5 polar and rectangular conversion problems our math games drill.

5 questions in the bank

Sample questions

Try 3 for free

Question 1easy

Which expression gives $y$ in terms of polar coordinates?

In polar coordinates, $y = r\sin\theta$ .

Question 2easy

Convert $(5,\, 12)$ to polar. Find $r$ .

$r = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$ .

Question 3easy

Convert $(8,\, 6)$ to polar. Find $r$ .

$r = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10$ .

More Grade 12 skills:

Maclaurin series Special limits Inverse trig domain and range Standard antiderivatives Degree-radian conversion Standard derivatives Convergence tests Trig identities All Grade 12 practice →

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