#What does d^2 represent in this polar equation?

14 messages · Page 1 of 1 (latest)

drowsy current
#

In the polar equation d^2 = (r1)^2 + (r2)^2 - 2(r1)(r2)cos(theta - alpha), where r1 and alpha are the coordinates for the center of a circle, what is d^2?

spiral oysterBOT
crystal galleon
#

it could be diameter

bright seal
#

using the given polar equation we have r1 and r2 represent the radi of the circles and alpha represents the angle between the two radii omega is the angle measured conterclockwise from the polar axis to the point of intrest

#

so d² is the square of the distance between two circles with centres at r1 and r2 respectively

#

we cannot determine a numerical value for d² without knowing the specific values of r1 r2 omega and alpha if you have specific values for these variations please provide them and i can not help u find d²

drowsy current
#

this is the equation for one circle

#

r1 and alpha represents the coords for the center of the circle on the polar graph

#

r2 and theta represents any point on the circle

#

i just dont know what d^2 is

drowsy current
#

in rectangular form the circle would look like:

#

(x-h)^2 + (y - k)^2 = r^2