Question

Suppose an angle measuring "1 Gip" subtends an arc that is 1/15th of the circumference of...

Suppose an angle measuring "1 Gip" subtends an arc that is 1/15th of the circumference of any circle centered at its vertex, and an angle measuring "1 Quip" subtends an arc that is 1/6th of the circumference of any circle centered at its vertex. Angle A has a measure of 8 Gips. Since an angle making a full rotation measures 15 Gips and Angle A has a measure of 8 Gips, the arc subtended by Angle A's rays is % of the circumference of any circle centered at Angle A's vertex. Since an angle making a full rotation measures 6 Quips, the measure of Angle A in Quips must be . Angle B has a measure of 12.5 Gips. What is the measure of Angle B in Quips?

Math   Precalculus   
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Answer #1

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1 Gip =central angle of 1/15th of circumference.

1 Quip =central angle of 1/6th of circumference.

Angle A = 8 Gips = central angle of 8/15th of circumference

Now we'll find the Quip representation of Angle A.

Angle A = 8 Gips = central angle of 8/15th of circumference

1 Gip =central angle of 1/15th of circumference= central angle of .4x1/6th of circumference= 0.4 Quip

Angle A = 8 Gip= 3.2 Quip

Angle B = 12.5 Gip = 5 Quip

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