Q: What is the measure of an angle that encloses half of a circle?

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A protractor can be used to measure an angle. An angle is basically part of a circle. A complete circle is 360 degrees. A right-angle is 90 degrees, half a circle is 180 degrees, and so on.

Place the center point of the protractor at the vertex of the angle and one of the lines of the angle along the zero line of the protractor. The measure of the angle will then be where on the protractor's angular scale the other line of the angle lies.

If the arc is circular, such a figure is a semicircle or half circle.

A 180-degree arc is also called a half-circle.

It will be half the original angle.

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A protractor can be used to measure an angle. An angle is basically part of a circle. A complete circle is 360 degrees. A right-angle is 90 degrees, half a circle is 180 degrees, and so on.

180 degrees, if you mean a half circle

A semi-circle, half a circle, by definition is 180 degrees, half of a rotation. A whole circle has a whole rotation, which is 360 degrees.

An angle with a measure of 180 degrees will look like a straight line with the vertex being a point in the center. Since a complete circle is 360 degrees, opening an angle to 180 degrees traces out exactly half a circle.

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Place the center point of the protractor at the vertex of the angle and one of the lines of the angle along the zero line of the protractor. The measure of the angle will then be where on the protractor's angular scale the other line of the angle lies.

If the arc is circular, such a figure is a semicircle or half circle.

John Stith Pemberton

A 180-degree arc is also called a half-circle.

The measure of the obtuse angle would then be double that of the acute angle.

It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.