Visually estimate the measure of the angles below in the uni

Visually estimate the measure of the angles below in the units specified. Consider the angle depicted in Figure A. What is the measure of the angle in units of 1/.6th of the circumference? 1/6th of the circumference What is the measure of the angle in units of 1/4th of the circumference? 1/4th\'s of the circumference What is the measure of the angle in units of the circumference? of the circumference Consider the angle depicted in Figure B. What is the measure of the angle in units of 1/6th of the circumference? 1/6th\'s of the circumference What is the measure of the angle in units of 1/4th of the circumference? 1/4th\'s of the circumference What is the measure of the angle in units of the circumference? of the circumference True or false, the measure of angle in Figure A is equivalent to the measure of the angle in Figure B.

Solution

a)

i) We know that 1/6 of the circumference is 360/6 = 60. Therefore, the angle A (300 degrees), will be 5 times the 1/6th of circumeference.

ii) We know that 1/4th of the circumference is 360/4 = 90 degrees. Therefore, angle A is 300/90 = 10/3 times the 1/4th of the circumference.

iii)Measure of angle in units of the unit circle would be 300/360 = 5/6 times the circumference

b)

i) We know that 1/6 of the circumference is 360/6 = 60. Therefore, the angle A (300 degrees), will be 5 times the 1/6th of circumeference.

ii) We know that 1/4th of the circumference is 360/4 = 90 degrees. Therefore, angle A is 300/90 = 10/3 times the 1/4th of the circumference.

iii)Measure of angle in units of the unit circle would be 300/360 = 5/6 times the circumference

c) From part a and b we can see that angle measures are same. Hence, the statement is True.