Polar Equation To Rectangular Calculator

Polar to Rectangular Figurer

Rectangular coordinates, or cartesian coordinates, come in the form (ten, y), points are identified by their distances from the x and y axes. Polar coordinates, on the other manus, come in the form (r, θ), points are identified by their angle on the unit circle and their distance from the origin.

What is Polar to Rectangular Calculator?

'Polar to Rectangular Calculator' is an online tool that helps to convert polar to rectangular coordinates. Online Polar to Rectangular Calculator helps y'all to convert polar to rectangular coordinates in a few seconds.

Polar to Rectangular Calculator

How to Utilise Polar to Rectangular Reckoner?

Delight follow the below steps to convert polar to rectangular coordinates:

Step 1: Enter the polar coordinates(r, θ) in the given input boxes.
Step two: Click on the"Catechumen" button to convert polar to rectangular coordinates.
Stride 3: Click on the"Reset" button to articulate the fields and enter the different values.

How to Observe Polar to Rectangular Computer?

Polar coordinates are expressed as (r, θ) while rectangular coordinates are expressed as (x,y)

Converting polar to rectangular coordinates means expressing the polar coordinates in the form of rectangular coordinates.

The formula's for converting polar coordinates to rectangular coordinates:

x = rcosθ, y = rsinθ

Where (r, θ) are polar coordinates and (x, y) are rectangular coordinates

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Solved Examples on Polar to Rectangular Calculator

Example ane:

Catechumen polar coordinates (v, 45°) into rectangular coordinates.

Solution:

Given: r = 5, θ = 45°

To convert polar to rectangular coordinates,

x = rcosθ

= 5cos45°

= 5 /√ii

ten = 3.536

y = rsinθ

= five sin45°

= 5 /√ii

y = 3.536

Therefore, rectangular coordinates (x, y) = (3.536, 3.536)

Instance 2:

Catechumen polar coordinates (7, xxx°) into rectangular coordinates.

Solution:

Given: r = vii, θ = 30°

To catechumen polar to rectangular coordinates,

x = rcosθ

= 7cos30°

= 7(√3/ii)

x = half-dozen.06

y = rsinθ

= 7 sin30°

= 7 / 2

y = 3.5

Therefore, rectangular coordinates (x, y) = (half dozen.06, 3.5)

Case 3:

Convert polar coordinates (four, threescore°) into rectangular coordinates.

Solution:

Given: r = 4, θ = lx°

To catechumen polar to rectangular coordinates,

ten = rcosθ

= 4cos60°

= 4 / 2

x = 2

y = rsinθ

= 4 sin30°

= 4(√3/ii)

y = iii.465

Therefore, rectangular coordinates (x, y) = (2, three.465)

Similarly, you can use the estimator to convert polar to rectangular coordinates for the following:

Catechumen polar coordinates (11, lx) into rectangular coordinates
Convert polar coordinates (7, 30) into rectangular coordinates

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