# An an angle subtending an arc that is 1/360th of the circumference of any circle centered at its…

An an angle subtending an arc that is 1/360th of the circumference of any circle centered at its vertex measures one degree. For the angle shown below, the arc subtended by the angle’s rays is 45 times as large as 1/360th of the circumference of the given circle, so the angle has a measure of 45 degrees. 45 times as large as 1-degree 1 degree th of circumf. Answer the following questions relative to degree angle measure. a. An angle has a measure of 75 degrees. This means that, for any circle centered at the angle’s vertex, the arc subtended by the angle’s rays will be times as long as 1/360

»An an angle subtending an arc that is 1/360th of the circumference of any circle centered at its vertex measures one degree. For the angle shown below, the arc subtended by the angle’s rays is 45 times as large as 1/360th of the circumference of the given circle, so the angle has a measure of 45 degrees. 45 times as large as 1-degree 1 degree th of circumf. Answer the following questions relative to degree angle measure. a. An angle has a measure of 75 degrees. This means that, for any circle centered at the angle’s vertex, the arc subtended by the angle’s rays will be times as long as 1/360th of the circumference of that circle. b. An angle has a measure of 75 degrees, and a circle is centered at the vertex of the angle. 1/360th of the circumference of the circle’s circumference is 0.15 inches long. How long is the arc subtended by the angle’s rays? inches long Preview c. A circle is centered at the vertex of an angle. The arc subtended by the angle’s rays is 2.3 inches long, and 1/360th of the circumference of the circle is 0.02 inches long. What is the measure of the angle in degrees? degrees Preview

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