Question

(0,7): Use the equation r^2=x^2+y^2 to find the radius of this point.

Part II: Use the fact tan theta = y/x , x not equal to zeroto find the angle for this point.
Combine your answers to write the polar coordinates of this point.

Answer 1

Answer:
`(7,(\pi)/(2))`

Explanation:

Given

The equation of the circle is
`x^2+y^2=r^2`

Point
`(0,7)` lies on the circle

Put the value

`\Rightarrow 0^2+7^2=r^2\\\Rightarrow r=7\ \text{units}`

for this point, the angle is given by

`\Rightarrow \tan \theta=(y)/(x)\\\\\Rightarrow \tan \theta=(7)/(0)\rightarrow \infty`

That is
`\theta \rightarrow 90^(\circ)`

The polar coordinate is given by
`(r,\theta)`

`\therefore\ (7,90^(\circ))\ \text{or}\ (7,(\pi)/(2))`