Question

How do you convert the rectangular coordinate `(9.79, 5.13)` into polar coordinates?

Answer 1

Converted polar coordinates are `(11.05, 27.65^0) or (11.05, 0.48 rad)`

Explanation:

if `x,y` be the rectangular coordinate of a point. Then the point expressed in polar codinates as `x=r cos theta ; y=rsin theta ;r=sqrt(x^2+y^2) and theta= tan^_1(y/x) :. r=sqrt(9.79^2+5.13^2)=11.05(2dp) ; theta = tan^-1(5.13/9.79)= 0.48`radians or `27.65^0(2dp)`
So in polar coordinates the point is expressed as `(r,theta)=(11.05, 27.65^0) or (11.05, 0.48)` radian [Ans]