Determine the angle at the centre of a circle with a radius of 8.0 cm for an arc length of 12.0 cm.
A. 2/3 radians
B. 1/3 radians
C. 3/2 radians
D. 3π / 2 radians

Respuesta :

Answer:

C. 3/2 Radians

Step-by-step explanation:

As we know, a radian is defined as "the angle enclosed by an arc equal to the radius", or some variant of such.

This means 1 radian in this circle would have an arc length of 8cm.

Simple proportions should get you an answer:

[tex] \frac{1 \: radians}{8cm} = \frac{x \: radians}{12cm} \\ 8x = 12 \\ x = \frac{12}{8} \\ x = \frac{3}{2} [/tex]