Question

What fraction of a semicircle is an angle that measures start fraction, 7, pi, divided by, 6, end fraction 7π/6 ​radians? Express your answer as a fraction in simplest terms.

Answer 1

here you go

Explanation:

To find the fraction of a semicircle that an angle measuring 7π/6 radians represents, you need to compare the angle to the total angle of a semicircle, which is π radians.

So, you can express this as a fraction:

Fraction = (Angle measure in radians) / (Total angle in radians)

Fraction = (7π/6) / π

Now, to simplify this fraction, you can cancel out a common factor between the numerator and denominator, which is π:

Fraction = (7/6)

So, the fraction of a semicircle that an angle measuring 7π/6 radians represents is 7/6.