An arc of a circle measures 45°. If the radius of the circle is 6 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 =

\frac{\theta}{360} (2\pi r)

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 =

\frac{\theta}{360} (2\pi r)

Then, substitute the given data

Length of arc =

\frac{30}{360} [2\pi (5)]

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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Answer:

Let's say it is equal to 45 degrees, or π/4. Calculate the arc length according to the formula above: L = r * θ = 15 * π/4 = 11.78 cm .