rums CalendarGradebook Log Out 7 (Group A) > Assessment Calvin Peterson view Hom

Question

rums CalendarGradebook Log Out 7 (Group A) > Assessment Calvin Peterson view Homework Due in 18 hours, 56 minutes. Due Mon 11/06/2017 8:00 a Show Intro/Instruction Three angles have their vertex at the center of a circle with a radius of 23 inches. Their measures are given below. Determine he linear measure, in inches, of the arc cut off by each angle . Angle A has a measure of 97 degrees. The arc cut off by Angle A's rays has a measure of inches Preview Angle B has a measure of 2.6 radians. The arc cut off by Angle B's rays has a measure of Preview inches. Angle C has a measure of 3.7 radians. The arc cut off by Angle C's rays has a measure of Preview inches. License ints possible: 10 limited attempts. hmit

Explanation / Answer

1) Arc = Angle in Radian* Radius

a) Angle = 97 degree = 1.7 radian

     Radius = 23 inches

     Arc = 1.7*23 = 39.1 inches

b) Angle = 2.6 radian

     Radius = 23 inches

     Arc = 2.6*23 = 59.8 inches

c) Angle = 3.7 radian

     Radius = 23 inches

     Arc = 3.7*23 = 85.1 inches

2) R1 = 1.1 inches

     R2 = 2.6 inches

     R3 = 4.3 inches

     Angle = = 2.3 radians

Now Arc = s1 = *R1 = 2.3*1.1 = 2.53 inches

         Arc = s2 = *R2 = 2.3*2.6 = 5.98 inches

         Arc = s3 = *R3 = 2.3*4.3 = 9.89 inches

3) Option E) is correct.

As Arc = Angle in Radian* Radius

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