Suppose an angle has a measure of 100 degrees. Tip: Watch the video at the end. a. If a circle is centered at the vertex of the angle, then the arc subtended by the angle's rays is times as long as 1/360th of the circumference of the circle. b. A circle is centered at the vertex of the angle, and 1/360th of the circumference is 0.03 cm long. What is the length of the arc subtended by the angle's rays? cm Preview c. Another circle is centered at the vertex of the angle. The arc subtended by the angle's rays is 40 cm long. o 1/360th of the circumference of the circle is cm long. Preview o Therefore the circumference of the circle is çm, Preview

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.1: Circles And Related Segments And Angles
Problem 22E
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a b and c 

Suppose an angle has a measure of 100
degrees.
Tip: Watch the video at the end.
a. If a circle is centered at the vertex of the
angle, then the arc subtended by the angle's
rays is
times as long as 1/360th
of the circumference of the circle.
b. A circle is centered at the vertex of the
angle, and 1/36oth of the circumference is
0.03 cm long. What is the length of the arc
subtended by the angle's rays?
cm
Preview
c. Another circle is centered at the vertex of
the angle. The arc subtended by the angle's
rays is 40 cm long.
o 1/360th of the circumference of the
circle is
cm
long.
Preview
o Therefore the circumference of the
circle is
cm.
Preview
Transcribed Image Text:Suppose an angle has a measure of 100 degrees. Tip: Watch the video at the end. a. If a circle is centered at the vertex of the angle, then the arc subtended by the angle's rays is times as long as 1/360th of the circumference of the circle. b. A circle is centered at the vertex of the angle, and 1/36oth of the circumference is 0.03 cm long. What is the length of the arc subtended by the angle's rays? cm Preview c. Another circle is centered at the vertex of the angle. The arc subtended by the angle's rays is 40 cm long. o 1/360th of the circumference of the circle is cm long. Preview o Therefore the circumference of the circle is cm. Preview
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