How to Calculate Arc Length for a 124° Angle in a Circle?

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Discussion Overview

The discussion revolves around calculating the arc length of a circle given a central angle of 124° and a radius of 10 cm. The focus is on the application of the arc length formula and the conversion of degrees to radians.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents the problem of finding the arc length for a circle with a specified radius and angle.
  • Another participant provides the formula for arc length, stating that it depends on the radius and the angle in radians.
  • There is a suggestion to convert the angle from degrees to radians as part of the calculation process.
  • A later post indicates a result for the arc length, although it is unclear how this result was derived or if it has been verified by others.
  • A separate mathematical function question is introduced, which appears unrelated to the arc length discussion.

Areas of Agreement / Disagreement

Participants seem to agree on the method of calculating arc length using the provided formula, but there is no consensus on the correctness of the final computed value, as it is presented without verification from others.

Contextual Notes

The discussion does not clarify the intermediate steps taken to arrive at the arc length result, and the transition to a different mathematical question may indicate a lack of focus on the original topic.

Who May Find This Useful

Students or individuals interested in understanding the calculation of arc lengths in circles, particularly in the context of geometry or trigonometry homework.

zolton5971
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A circle has a radius of 10cm. Find the length s of the arc intercepted by a central angle of 124°
.

Do not round any intermediate computations, and round your answer to the nearest tenth.

How do I do this?
 
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You will need the formula:

[box=green]
Arc Length of Circular Arc​
The arc-length $s$ of the circular arc, where the radius of curvature is $r$, and the subtended angle is $\theta$ (in radians) is given by:

$$s=r\theta\tag{1}$$[/box]

So, you need to convert the given angle to radians (multiply by $$\frac{\pi}{180^{\circ}}$$), and then plug the given data into (1). What do you find?
 
Got that one thanks!
 
zolton5971 said:
Got that one thanks!

The function f is defined by f(x)=x^2+5

Find f(3z)

How do I find f(3z)

You should have found:

$$s=\frac{62\pi}{9}$$

I am going to move your next question to a new thread. :D
 

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