Prove that S is equal to r theta
Or
Theta equals s over r
Or
s r theta formula
Prove that the radian measure of any angle at the centre of a circle is equal to the ratio of the arc subtending that angle at the centre to the radius of the circle.
Let, XOY be a given angle. Now, with centre O and any radius OL draw a circle.Then, by definition, ∠LON = 1 radian.
Since the ratio of two arcs in a circle is equal to the ratio of the angles subtended by the arcs at the center of the circle, hence,
∠LOM/∠LON = arc LM/arc LNθ = s/r, [i.e. theta equals s over r]
or, s = r θ, [i.e. s r theta formula]
Therefore, now we know the meaning of “S is equal to r theta”
● Measurement of Angles
From S is Equal to R Theta to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Aug 14, 24 09:52 AM
Aug 14, 24 02:39 AM
Aug 13, 24 01:27 AM
Aug 12, 24 03:20 PM
Aug 12, 24 02:23 AM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.