Lydia Carey

## Answered question

2022-06-22

What is the polar form of $\left(1,18\right)$ ?

### Answer & Explanation

Anika Stevenson

Beginner2022-06-23Added 19 answers

Step 1
Given Cartesian coordinates $\left(x,y\right)$ in Quadrant I
$r=\sqrt{{x}^{2}+{y}^{2}}$
and
$\theta =\mathrm{arctan}\left(\frac{y}{x}\right)$

abbracciopj

Beginner2022-06-24Added 4 answers

Step 1
Polar format:
$r=\sqrt{{x}^{2}+{y}^{2}}$
$\theta ={\mathrm{tan}}^{-1}\left(\frac{y}{x}\right)$
apply both formulas when going from Cartesian $\to$ polar
$\sqrt{{1}^{2}+{18}^{2}}=\sqrt{325}\approx 18.0$
$\theta ={\mathrm{tan}}^{-1}\left(\frac{18}{1}\right)={\mathrm{tan}}^{-1}\left(18\right)\approx 1.5radians$
Thus our answer of:
Polar format of (1,18) Cartesian is: (18, 1.5)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?