Question

Can you please help me out with the a question

Answer 1

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:

`\theta=60\cdot(\pi)/(180)=(\pi)/(3)`

The length of the arc PQ is:

`L=9\cdot(\pi)/(3)=3\pi`

Calculating: L = 3*3.1416 = 9.425

Answer:

B. 9.425