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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 _______ cm long, so the measure of the angle in degrees is _______.

b. The arc subtended by the angle’s rays is _______% of the circumference of the circle. Since an angle that makes a full 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 _______ cm long, so the measure of the angle in degrees is _______. b. The arc subtended by the angle’s rays is _______% of the circumference of the circle. Since an angle that makes a full rotation measures 360 degrees, the measure of the angle in degrees must be _______.
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