151k views
0 votes
Arc length practice

Arc length practice-example-1

1 Answer

7 votes

Answer:


\large\boxed{s = 4\pi}

Explanation:

The arc length is determined by the formula
s=r\theta, where s is the arc length, r is the radius, and
\theta is the value of the central angle (in radian formatting).

By substituting the values for the radius and the central angle, you can solve for the arc length.


\text{The radius is half of the diameter -} \: \boxed{(4)/(2)=2}.

The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.

Now, substitute the values and solve for s.

s = (2)(2π)


\large\boxed{s = 4\pi}

User Jhuang
by
5.6k points