59,640 views
1 vote
1 vote
The radius of a circle is 10 miles. What is the length of a 45° arc?

User Ididak
by
2.6k points

1 Answer

10 votes
10 votes

Solution

We are given

Radius (r) = 10 miles

Angle (theta) = 45 degrees

We want to find the length of the arc

Note: Formula for the length of an Arc


\begin{gathered} l=(\theta)/(360)*2\pi r \\ length\text{ }Of\text{ }Arc=(45)/(360)*2*\pi*10 \\ length\text{ }Of\text{ }Arc=(1)/(8)*20\pi \\ length\text{ }Of\text{ }Arc=(5)/(2)\pi \\ length\text{ }Of\text{ }Arc=7.853981634 \\ length\text{ }Of\text{ }Arc=7.854miles \end{gathered}

Therefore, the length of the arc is


\begin{equation*} 7.854miles \end{equation*}

The radius of a circle is 10 miles. What is the length of a 45° arc?-example-1
User Don Diego
by
2.7k points