a. A circle is centered at the vertex of an angle, and the angle's rays subtend an are that is 91.8 cm long. 1/360th of the circumference of the circle is 0.6 cm long. What is the measure of this angle in degrees? 34.39490446 degrees Preview

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...
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a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 91.8 cm long. 1/360th of the circumference of the
circle is 0.6 cm long. What is the measure of this angle in degrees?
34.39490446
]* degrees
Preview
b. A circle with a circumference of 360 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 255 cm long. What
is the measure of this angle in degrees?
]* degrees
Preview
Hint: Start by computing 1/360th of the circumference of the circle, and then use that as your unit of measure to measure the subtended
arc.
Transcribed Image Text:a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 91.8 cm long. 1/360th of the circumference of the circle is 0.6 cm long. What is the measure of this angle in degrees? 34.39490446 ]* degrees Preview b. A circle with a circumference of 360 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 255 cm long. What is the measure of this angle in degrees? ]* degrees Preview Hint: Start by computing 1/360th of the circumference of the circle, and then use that as your unit of measure to measure the subtended arc.
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