A circle with a circumference of 86.4 cm is centered at the vertex of an angle. The rays of the angle subtend an arc that is 11.52 cm long. Complete the following statements by entering numbers in the answer boxes. a. 1/360th of the circumference of the circle is cm long, so the measure of the angle in degrees is % of the circumference of the carcle. Since an angle that makes a full b. The arc subtended by the angle's rays is rotation measures 360 degrees, the measure of the angle in degrees must be

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 14E
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A circle with a circumference of 86.4 cm is centered at the vertex of an angle. The rays of the angle subtend an arc that is 11.52 cm long.
Complete the following statements by entering numbers in the answer boxes.
a. 1/360th of the circumference of the circle is
em long, so the measure of the angle in degrees is
% of the circumference of the carele. Since an angle that makes a full
b. The arc subtended by the angle's rays is
rotation measures 360 degrees, the measure of the angle in degrees must be
Transcribed Image Text:A circle with a circumference of 86.4 cm is centered at the vertex of an angle. The rays of the angle subtend an arc that is 11.52 cm long. Complete the following statements by entering numbers in the answer boxes. a. 1/360th of the circumference of the circle is em long, so the measure of the angle in degrees is % of the circumference of the carele. Since an angle that makes a full b. The arc subtended by the angle's rays is rotation measures 360 degrees, the measure of the angle in degrees must be
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