Question

What is the relationship between the arc length and the radius of a circle when the central angle is defined in radians?

Answer 1

if the radius is 1, the arc length is the central angle
if the radius is \(r\) then the central angle is measured as \(\frac{a}{r}\) where \(a\) is the arc length

Answer 2

\[s = r \theta\]

where s is the arc length.
r is the radius and
theta is the angle in radians.

Answer 3

A.
The length of the arc intercepted by the central angle is equal to the radius of the circle.
B.
The length of the arc intercepted by the central angle is proportional to the radius of the circle.
C.
The length of the arc intercepted by the central angle is equal to the square root of the radius of the circle.
D.
The length of the arc intercepted by the central angle is not related to the radius of the circle.

Answer 4

The answer must be B.