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The measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.
What is a circle?
A circle is a locus of a point that moves in a plane such that its distance from a fixed point is always constant.
As we know that a circle has a total of 360 degrees all the way around the center.
So, the measure, in degrees of an angle that represents 50/360 of a circle will be = 50/360 * 360 degrees.
the measure, in degrees of an angle that represents 50/360 of a circle will be = 50 degrees.
Therefore, the measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.
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The measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.
What is a circle?
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
A complete circle has a 360° angle at the center of it, since the angle we need to calculate is represented by 50/360, therefore, the measure of the angle can be written as,
[tex]\theta = \dfrac{50}{360}\times 360^o = 50^o[/tex]
thus, the measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.
Learn more about Circle:
https://brainly.com/question/11833983