142k views
2 votes
In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

User Gizette
by
5.7k points

2 Answers

1 vote

Answer:

The answer is 32.84

Explanation:

i just did the test and the other answer replied to you was wrong.

User Felix Wienberg
by
5.5k points
5 votes

For this case, the first thing you should know is that the formula for the arc length is given by:


S = R * \alpha

Where,

  • R: radius of the circle
  • α: central angle.

For this case we are going to assume that the correct data are:


R = \frac {36} {35}\\\alpha = \frac {2 \pi} {7}

Substituting values we have:


S = \frac {36} {35} * \frac {2 \pi} {7}

Calculated:


S = 0.923 cm

Answer:

The arc length is:


S = 0.923 cm

User Mapedd
by
5.6k points