an arc of circle measure 30.if the radius of circle is 5 cm what is the length of the arc?

Sagot :

Answer:

The length of the arc is 2.62 cm

Step-by-step explanation:

Let us use the formula

Length of arc = [tex]\frac{\theta}{360} (2\pi r)[/tex]

where

r     is the radius, the given unit is in cm

θ    is the arc of the circle, the unit is in degrees

Given information

θ = 30°

r = 5 cm

L = ?

Solving the problem

Let us solve the length of the arc using the given formula

Length of arc = [tex]\frac{\theta}{360} (2\pi r)[/tex]

Then, substitute the given data

Length of arc = [tex]\frac{30}{360} [2\pi (5)][/tex]

Length of arc = 2.62 cm

Therefore, the length of the arc is 2.62 cm

To learn more, just click the following links:

  • The formula for the length of the arc

       https://brainly.ph/question/2391834

  • Example of how to convert degrees to radians

       https://brainly.ph/question/2009952

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