A circle is a curve sketched out by a point moving in a plane. The measure of the angle is 72°.
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.
Let the angle that turns through 1/5 of the circle be x.
We know that the measure of the centre of a circle is 360°, while it is given that the angle turns through 1/5 of the circle. Therefore, the angle will turn 1/5 of 360°.
[tex]x = \dfrac15 \times 360^o = 72^o[/tex]
Thus, the measure of the angle is 72°.
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