Question

Convert the exact rectangular coordinates to polar coordinates.​

Answer 1

if the rectangular coordiante is (x,y) and the polar coordinate is (R,t), then they are related as follows:

R^2=x^2+y^2

tant=y/x

1.(pi,pi/4)

here, R=

`\sqrt{ {\pi}^(2) + { ((\pi)/(4) })^(2) } = \sqrt{ \frac{17 {\pi}^(2) }{16} } = (\pi)/(4) √(17) \\tant = ( (\pi)/(4) )/(4) \\ t = {tan}^( - 1) \pi = 89.682`

therefore the polar form of Q.1 is

(pi sq. root 17/4,89.682°)

you can do 2 in similar way.