Answer:
Option 3rd is correct
12π inches
Step-by-step explanation:
The arc length of thew circle is given by:
[tex]l=r \theta[/tex] ....[1]
where,
r is the radius of the circle
[tex]\theta[/tex] is the central angle in radian
As per the statement:
a central angle of (Pie/2) radians in a circle whose radius is 24 inches.
⇒[tex]\theta = \frac{\pi}{2}[/tex] and r = 24 inches
Substitute the given values in [1] we have;
[tex]l = 24 \cdot \frac{\pi}{2} = 12 \cdot \pi[/tex]
⇒[tex]l = 12 \pi[/tex] inches
Therefore, the arc length of a circle is, 12π inches
