find the arc length, s, if r = 6 and the measure of the angle, \\( \\theta = 1.5 \\) radians. s = ?
find the arc length, s, if r = 6 and the measure of the angle, \\( \\theta = 1.5 \\) radians. s = ?
Answer
Explanation:
Step1: Recall the arc - length formula
The formula for arc length is (s = r\theta), where (r) is the radius and (\theta) is the central angle in radians.
Step2: Substitute the given values
Given (r = 6) and (\theta=1.5) radians. Substitute into the formula: (s=(6)\times(1.5)).
Step3: Calculate the value
(s = 6\times1.5=9).
Answer:
(9)