Answer:
S = 38.4 centimeters.
Step-by-step explanation:
<u>Given the following data;</u>
- Radius, r = 12 cm
- Angle = 3.2 rads
To find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
- S is the length of the arc.
- A is the angle measured in radians.
Substituting into the formula, we have;
S = 12 * 3.2
<em>S = 38.4 centimeters.</em>
