Question

-In circle D with mZCDE = 60 and CD = 15 units, find the length of arc CE.Round to the nearest hundredth.

Answer 1

Given

The circle,

And,

$m\angle CDE=60\degree,CD=15\text{ }units$

To find the length of arc CE.

Explanation:

It is given that,

$m\angle CDE=60\degree,CD=15\text{ }units$

Let the arc length of CE as l.

Then,

$\begin{gathered} l=\frac{n\pi r}{180} \\ l=\frac{60\times\pi\times15}{180} \\ l=5\pi \end{gathered}$

Hence, the length of the arc CE is

$5\pi\text{ }units.$