the figure below represents \frac{31}{36} of a full circle. find the measure of the marked central angle.

Question

Accepted Answer

# Explanation:
## Step1: Recall the total degrees in a circle
A full - circle has $360^{\circ}$.
## Step2: Calculate the central angle
If the figure represents $\frac{31}{36}$ of a full circle, then the central angle $\theta$ is given by $\theta=\frac{31}{36}\times360^{\circ}$.
$$
\begin{align*}
\theta&=\frac{31\times360^{\circ}}{36}\
& = 31\times10^{\circ}\
&=310^{\circ}
\end{align*}
$$

# Answer:
$310$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall the total degrees in a circle

Step2: Calculate the central angle

Answer: