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Find the arc length intercepted by a central angle of (Pie/2) radians in a circle whose radius is 24 inches.

48π
24π
12π

1 Answer

2 votes

Answer:

Option 3rd is correct

12π inches

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 = (\pi)/(2) and r = 24 inches

Substitute the given values in [1] we have;


l = 24 \cdot (\pi)/(2) = 12 \cdot \pi


l = 12 \pi inches

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

User Benjamin Talmard
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