The measure of STY in O is 310°.
The measure of arc SY is 50°. This is because SOY is a central angle, and central angles have the same measure as their arc.
This means that arc STY, which is the rest of the circle, would have a measure of 360-50 = 310°.
How do you find the measure of the arc?
Radians are measurements in degrees equal to the central angle that forms the truncated arc. The length of the arc is part of the circumference of the circle and is calculated as follows: Find the circumference of the circle, divide it by 360, and multiply it by the measured arc.
Radians are circular, although the length of the arc is a span along the arc. This angular distance can be specified in radians or degrees, and both can be easily converted using the formula π radians = 180 ° π rad i an s = 180 °.
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