9 Find the distance between P1 3 195 and P2 4 94 on the pola

9. Find the distance between P1 (3, -195°) and P2 (-4, -94°) on the polar plane. Round your answer to the nearest hundredth.

Solution

(3,-195) is same as -2.89,.77 by putting x=rcost and y= rsint.here r=3 and t=-195.similarly -4,-94 is same a s 027,3.99.

Now using the distance formula in crtesian form,

d=sqrt of (x1-x2)^2+(y1-y2)^2

=sqrt(.27+2.89)^2+(3.99-.77)^2

=sqrt(9.9856+10.3684+

=sqrt(20.354)

=4.51