Question

question 2 of 25
the circumference of the circle shown below is 54 centimeters. which expression gives the length in centimeters of $widehat{xy}$?

Explanation:

Step1: Recall arc - length formula

The length of an arc of a circle is given by the formula $s=\frac{\theta}{360}\cdot C$, where $\theta$ is the central - angle measure in degrees and $C$ is the circumference of the circle.

Step2: Identify values

Here, $\theta = 120^{\circ}$ and $C = 54$ cm.

Step3: Substitute values

Substituting the values into the formula, we get $s=\frac{120}{360}\cdot54$. So the length of arc $\widehat{XY}$ is given by the expression $\frac{120}{360}\cdot54$.

Answer:

B. $\frac{120}{360}\cdot54$