Answered

An angle measuring 75° turns through a circle. Write the fraction for how much of the circle the angle turns through.

Verified Answer :

Scottface

you should know that a whole circle consists of 360 degrees. Since the problem states that an angle measures 75 degrees you would then realize it is 75 degrees out of 360 degrees, or 75/360. This simplifies to 5/24.

Answer: The angle turns through \(\dfrac{5}{24}\) of the circle.

Step-by-step explanation:

Since we have given that

An angle measuring through a circle by turning = 75°

We know that angle formed by whole circle is 360°.

So, Fraction of the angle turns through

\(\dfrac{Angle\ rotation}{Total\ angle}\)

\(=\frac{75}{360}\\\\=\frac{5}{24}\)

Hence, The angle turns through \(\dfrac{5}{24}\) of the circle.