The length of arc for the options 1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.
What is angle measurement?
An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
As a result, when measuring angles in radians,
The length of the arc is:
[tex]\rm l = r \theta[/tex]
Unit conversions;
1 π = 180°
1° = 180/π
315°= 5.49 rad
270° = 4.71 rad
60° = 1.04 rad
150°=2.617 rad
The measure of the length of arc for the given radius;
[tex]\rm L_1 = R_1 \theta \\\\ L_1 = 1 \times 5.49 \\\\\ L_1 = 60.39 \\\\ L_2 = 13 \times 4.71 \\\\ L_2 = 61.23 \\\\ L_3 = 10 \times 1.04 \\\\ L_4 = 10.4 \\\\ L_4 = 3 \times 2.617 \\\\ L_4 = 7.851[/tex]
The length of arc for the options1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.
To learn more about the angle measurement, refer to the link;
https://brainly.com/question/14684647
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