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

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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 [tex]\dfrac{5}{24}[/tex] 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

[tex]\dfrac{Angle\ rotation}{Total\ angle}[/tex]

[tex]=\frac{75}{360}\\\\=\frac{5}{24}[/tex]

Hence, The angle turns through [tex]\dfrac{5}{24}[/tex] of the circle.

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