Convert to Polar Coordinates (2,5)

Problem

(2,5)

Solution

1. Identify the given Cartesian coordinates (x,y) where x=2 and y=5

2. Calculate the radius r using the formula r=√(,x2+y2)

r=√(,2+5)

r=√(,4+25)

r=√(,29)

3. Calculate the angle θ using the formula θ=arctan(y/x) Since the point is in the first quadrant, no adjustment is needed.

θ=arctan(5/2)

4. Approximate the value of θ if necessary.

θ≈1.19* radians

θ≈68.20

Final Answer

(2,5)=(√(,29),arctan(5/2))

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