High School

The circle below has a radius [tex]r = 8[/tex], and the central angle [tex]\theta[/tex] is 66 degrees. What is the arc length of the portion of the circle subtended by [tex]\theta[/tex]?

A) 22
B) 44
C) 66
D) 88

Answer :

Final answer:

The arc length of the portion of the circle subtended by the central angle is 22π/15.

Explanation:

The arc length of a portion of a circle subtended by an angle can be calculated using the formula:Arc Length (As) = (θ/360) * 2πr Where θ is the central angle in degrees and r is the radius of the circle. In this case, the central angle θ is 66 degrees and the radius r is 8. Plugging in these values into the formula, we get: Arc Length (As) = (66/360) * 2π(8) = 22π/15 So the arc length of the portion of the circle subtended by θ is 22π/15.