Q. 3 - Calculus

Question

Fill in the blanks to convert between rectangular coordinates and polar coordinates. 

$r=...............$

Step-by-Step Solution

Answer

The value of $r=\sqrt{x^2+y^2}$

Step 1. Given information

$r$ is the distance of the point from the origin.

Step 2. Convert r into rectangular coordinate.

Draw a diagram of a circle of radius $r$ and let a point$P\left(x,y\right)$ on the circle

Here in the right angle triangle we can apply Pythagorous theorem:

$$\begin{gathered} r^2=x^2+y^2 \\ r=\sqrt{x^2+y^2} \end{gathered}$$