Find the coordinates of the point P at an angle of 225 degrees on a circle of radius 4.9

Question

Find the coordinates and round your answers to the three decimal places

Answer 1

(4.9, 225) in polar coordinates converts to rectangular coordinates

to about (-3.5, -3.5)

radius squared = sum of sides squared

4.9^2 = x^2 + y^2 where x=y

24.01 = 2x^2

x^2 = 24.01/2 = 12.005

x = sqr12.005 = about -3.465 = about 3.5

reference angle = 45 degrees

which makes the opposite side = adjacent side, x=y

it's a right isosceles triangle

in quadrant III, x and y are always negative

and equal if reference angle = 45 degrees

It helps to plot the point

(-3.465, -3.465) rounded to 3 decimal places