The following angles have their vertex at the center of a circle with a circumfe

Question

The following angles have their vertex at the center of a circle with a circumference of 35 centimeters. Their measures are given below. Determine the linear measure, in centimeters, of the arc cut off by each angle. Angle A has a measure of 55 degrees. The arc cut off by Angle A's rays has a measure of Angle B has a measure of 328 degrees. The arc cut off by Angle B's rays has a measure of Angle C has a measure of 5.3 radians. The arc cut off by Angle C's rays has a measure of Angle D has a measure of pi/11 radians. The arc cut off by Angle D's rays has a measure of

Explanation / Answer

given circumference =35 cm

2r =35

=>r=35/(2)

when in degrees ,length of arc l=r(/180o)

a)A=55o

length of arc =(35/(2))*55o*(/180o)

length of arc =1925/360 cm

length of arc =5.34722cm

b)B=328o

length of arc =(35/(2))*328o*(/180o)

length of arc =11480/360 cm

length of arc =31.8889cm

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when in degrees ,length of arc l=r

c)C=5.3

length of arc =(35/(2))*5.3

length of arc =29.52324 cm

d)D=/11

length of arc =(35/(2))*(/11)

length of arc =1.59091 cm

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