Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal places. r = 8 meters, θ = 50°
A. 6.98 meters
B. 5.58 meters
C. 7.68 meters
D. 6.28 meters

Respuesta :

i think the answer is A

Answer:

The length of arc is 6.98 meters.

Step-by-step explanation:

Given the central angle θ=50° and radius 8 m of arc of circle.

we have to find the length of arc.

[tex]Radius=8 m[/tex]

[tex]\theta =50^{\circ}[/tex]

[tex]\text{The length of arc can be calculated by formula=}\frac{\theta}{360}\times 2\pi r[/tex]

[tex]L=\frac{50}{360}\times 2\times \frac{22}{7}\times 8[/tex]

[tex]L=\frac{55\times 8}{63}[/tex]

[tex]L=\frac{440}{63}=6.98 m[/tex]

The length of arc is 6.98 meters.

Hence, option A is correct.