Question

Find the polar coordinate of point whose Cartesian coordinates are (5,5)​

Answer 1

Answer:

Polar coordinates = ( 7.07, 45 degree)

Refer the attached image.

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Answer 2

Answer:

(5√2 , 45° )

Explanation:

here ,x=5 and y=5

therefore the points lies in the first quadrant let the polar coordinate be (r ∅)

therefore r square = x square + y square =5square + 5 square =25 +25=50

therefore r= 5√2 ( r>0)

tan ø = 5÷ 5 =1

since the point lies in the first quadrant and

0 <∅ <2π ,tan ø =1 = tan 45°

therefore ø =45° the polar coordinate of a given point are 5√2,45°