Question

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

48π
24π
12π

Answer 1

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