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# point P on a circle

How do I calculate point P on a circle when I have the following information:
Arc Length=3
Angle in degrees=0.42857
Angle in rounded degrees 25

You say - Angle in degrees=0.42857 Angle in rounded degrees 25

How can these both be true?    Is one of these supposed to be radians?

### 2 Answers by Expert Tutors

Michael F. | Mathematics TutorMathematics Tutor
4.7 4.7 (7 lesson ratings) (7)
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The fact that the arc length is 3 and he radius is 7 is a complete specification of the size of the angle
which is length of arc/length of circle =angle in radians /2π
Either start at the x-axis and go up 3/7 radian or calculate the rectangular coordinates as
x=7cos(24.55533408) y=7sin(24.55533408) with degrees set

Robert A. | Certified Teacher and Engineer - Tutoring Physics, Maths, and SciencesCertified Teacher and Engineer - Tutorin...
5.0 5.0 (114 lesson ratings) (114)
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I worked out 250 is approximately 0.4 radians so I am going to solve that way.

Consider the line from the center (0,0) of the circle to the point like a vector.

X = r cos(θ) =
Y = r sin(θ) =