Question

The arc length formula says the length s of arc subtended by angle Ɵ in a circle of radius r is given by the equation s=rƟ. What are the dimensions of (a) s, (b) r, and (c) Ɵ?

Answer 1

The dimensions of s, r, and Θ are length, length, and angle respectively.

The arc length formula states that the length (s) of an arc subtended by an angle (Θ) in a circle of radius (r) is given by the equation s = rΘ.

Here are the dimensions of each variable:

(a) The dimension of s is length (L).

(b) The dimension of r is also length (L).

(c) The dimension of Θ is angle, which is dimensionless (no units).