### Video Transcript

Find the distance between the polar
coordinates two, π and three, negative three π over four. Give your answer accurate to three
significant figures.

Remember, to find the distance
between two polar coordinates given by π one, π one and π two, π two, we use the
formula the square root of π one squared plus π two squared minus two times π one
π two times cos of π one minus π two. Letβs let π one be two and π one
be π. So π two is three and π two is
negative three π by four. Then, we substitute straight into
this formula. And we see the distance between
them is the square root of two squared plus three squared minus two times two times
three times cos of π minus negative three π by four. That gives us the square root of 13
minus 12 of cos of seven π by four, which is equal to 2.124 and so on. So correct to three significant
figures, we see the distance between our polar coordinates is 2.12 units.