Question

Can you please help me out with a question

Answer 1

The arc length formula is:

`L=(\theta)/(360)\cdot2\pi r`

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 ]:

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

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

Arc Length = 19.635 units