Question

what is the measure of \\( \overparen { a t } \\) in \\( \odot o \\) below?
a. \\( 83 ^ { \circ } \\)
b. \\( 277 ^ { \circ } \\)
c. \\( 263 ^ { \circ } \\)
d. \\( 97 ^ { \circ } \\)

Explanation:

Step1: Recall the total degrees in a circle

A full - circle has \(360^{\circ}\).

Step2: Calculate the measure of arc \(AT\)

The central angle \(\angle AOT = 97^{\circ}\). The measure of an arc is equal to the measure of its central angle. So the measure of arc \(AT\) is \(97^{\circ}\).

Answer:

D. \(97^{\circ}\)