The following angles have their vertex at the center of a ci

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

Solution

given circumference =35 cm

2r =35

=>r=35_/(2)

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

a)A=55^o

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

length of arc =1925_/360 cm

length of arc =5.34722cm

b)B=328^o

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

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