Length of the arc of a circle
Given a circle of radius r, the length of an arc of angle θ is given by:
L = rθ
The angle must be expressed in radians.
The question asks to calculate the length of the arc PQ in a circle of radius r=9 and angle of θ=60°
Converting the angle to radians:
[tex]\theta=60\cdot\frac{\pi}{180}=\frac{\pi}{3}[/tex]The length of the arc PQ is:
[tex]L=9\cdot\frac{\pi}{3}=3\pi[/tex]Calculating: L = 3*3.1416 = 9.425
Answer:
B. 9.425
