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22 maj 2024 · To convert from the rectangular to the polar form, we use the following rectangular coordinates to polar coordinates formulas: r = √(x² + y²) θ = arctan(y / x) Where: x and y — Rectangular coordinates; r — Radius of the polar coordinate; and; θ — Angle of the polar coordinate, usually in radians or degrees.
Free Cartesian to Polar calculator - convert cartesian coordinates to polar step by step
Coordinates: Rectangular to Polar. Added May 1, 2015 by fermarbello in Mathematics. This program converts rectangular coordinates into polar ones. Send feedback | Visit Wolfram|Alpha. Get the free "Coordinates: Rectangular to Polar" widget for your website, blog, Wordpress, Blogger, or iGoogle.
Now, the polar to rectangular equation calculator substitute the value of r and θ in the conversion formula and solve for the x and y values to get the rectangular coordinates. To do it, simply polar coordinate calculator use the following polar equation to rectangular: x = r * cos θ y = r * sin θ.
What is the formula for converting rectangular coordinates to polar coordinates? The formula is r = sqrt(x^2 + y^2) and θ = atan2(y, x) . When do we use polar coordinates?
Go Pro Now. cartesian to polar. Natural Language. Math Input. Extended Keyboard. Upload. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…
So, θ' = cos−1x r. If y ≥ 0 then θ = θ'. If y < 0 then θ = 2π− θ' (in radians) or θ = 360 −θ' (in degrees). Our final answer is (r,θ). Let's look at a concrete example: Convert ( −3,3√3) to polar coordinates: r = √( −3)2 + (3√3)2 = √36 = 6. θ' = cos−1( −3 6) = 2π 3. y < 0 so, θ = 2π − 2π 3 = 4π 3. So the polar coordinates are (6, 4π 3).
