SageS654802 SageS654802
  • 25-10-2022
  • Mathematics
contestada

Can you please help me out with the a question

Respuesta :

LevisU476158 LevisU476158
  • 25-10-2022

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

Answer Link

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