Polar and rectangular conversion. Game on.

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
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Warm-upeasy

Which expression gives yy in terms of polar coordinates?

In polar coordinates, y=rsin⁡θy = r\sin\theta.

Mid-gameeasy

Convert (5, 12)(5,\, 12) to polar. Find rr.

r=52+122=25+144=169=13r = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13.

Buzzer beatereasy

Convert (8, 6)(8,\, 6) to polar. Find rr.

r=82+62=64+36=100=10r = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10.

Overtime

2 more. Played, not assigned.

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More Grade 12 skills
Maclaurin seriesSpecial limitsInverse trig domain and rangeStandard antiderivativesDegree-radian conversionStandard derivativesConvergence testsCalculus application formulasAll Grade 12 practice →

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