visually estimate the measure of the angle below in the unit

visually estimate the measure of the angle below in the units specified.

a. consider the angle depicted in figure A.

i. what is the measure of the angle in units of 1/6th of the circumference?

ii. what is the measure of the angle in units of 1/4th of the circumference?

iii what is the measure of the angle in units of the circumference?

s below in the units specified e angle in units of of he circumference? 16th e angle in units of 14th of circunference? angle in the Figure B units of the erence e angle in units 16th of he angle units of the circumference in of 1 tth of

Solution

Visually, we can see that the angle A is around 300 degrees. Let us represent it in the given different units:

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

(b) 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.

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