Mathematics: 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

the answer is (-21/32, 23/32)...

Find the length of the arc on a circle of radius

yettionajetti

03.01.2022

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.

Radius=8 m

$\theta =50^{\circ}$

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

$L=\frac{50}{360}\times 2\times \frac{22}{7}\times 8$

$L=\frac{55\times 8}{63}$

$L=\frac{440}{63}=6.98 m$

The length of arc is 6.98 meters.

Hence, option A is correct.

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