Answer:
[tex]\approx 5/18[/tex]
Step-by-step explanation:
The measure of a circle is 360[tex]^{\circ}[/tex]. If an angle makes a 100 degree turn through the circle then the angle has turned through [tex]\frac{100}{360}[/tex] of the circle: [tex]\frac{100}{360} = \frac{10}{36} = \frac{5}{18}[/tex]
The angle turns through 5/18 of the circle.
A 100-degree angle turn through 27.78% of the circle.
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
The total angle in a circle is 360 degrees. The amount of a circle that a 100-degree angle turn through is:
Amount of circle = 100° / 360° = 0.2778 = 27.78%
A 100-degree angle turn through 27.78% of the circle.
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