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Verified Answer :

Answer:

Option 3rd is correct

12π inches

Step-by-step explanation:

The arc length of thew circle is given by:

\(l=r \theta\)              ....[1]

where,

r is the radius of the circle

\(\theta\) 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.

⇒\(\theta = \frac{\pi}{2}\) and r = 24 inches

Substitute the given values in [1] we have;

\(l = 24 \cdot \frac{\pi}{2} = 12 \cdot \pi\)

⇒\(l = 12 \pi\) inches

Therefore, the arc length of a circle is, 12π  inches