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Can you please help me out with a question

Sagot :

The arc length formula is:

[tex]L=\frac{\theta}{360}\cdot2\pi r[/tex]

Where

θ is the angle

r is the radius

Given,

θ = 75°

r = 15

Now, we find the arc length (L) of Arc AC by substituting the information we know [ Remembering to use 3.14159 as π ]:

[tex]\begin{gathered} L=\frac{\theta}{360}\cdot2\pi r \\ L=\frac{75}{360}\cdot2(3.14159)(15) \\ L=\frac{5}{24}\cdot94.2477 \\ L=19.6349 \end{gathered}[/tex]

Rounding to the nearest thousandth (3 decimal places), we have:

Arc Length = 19.635 units

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