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Let us convert the 270-degree angle to radian in terms of pi or π. According to the degree to radian conversion rule, we use this formula = Degree measure × (π/180°). Therefore, 270° = 270° × (π/180°) radian = 3π/2 radian. Also, 1° = (π)/180 radians = 0.017453 radians. Therefore, 270° = 270° × 0.017453 = 4.71239 radians.

270 degreerotation counterclockwise

Angles are defined as the measurement of opening at the intersection point of two lines or rays. 270-degree angle is an angle that is greater than a straight angle and is hence known as a reflex angle. We will be learning about the 270-degree angle drawing and conversion in this article.

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A 270-degree angle can be defined as 3 times of a right angle or 3/4th part of a full angle since (3/4) of 360° is equal to 270º. Hence, to plot a 270-degree angle we go about 3/4 rotation of the central angle. 270-degree angle looks like 3 quarters of a circle since each quarter has an angle of 90º, thus 3 quarters will be 3 × 90° = 270°.

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A 270º angle can be easily measured using a protractor by subtracting the internal angle from 360º. We can see a 270-degree angle is formed between the hands of a clock at 9 o'clock.

A 270-degree angle, also represented as 270º, is a reflex angle since it is greater than 180º. It is made up of 3 right angles. It can be represented on a unit circle and can be shown using a protractor as well.

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We start from point A, moving in the anticlockwise direction by three 90° to land on point D giving us 270°. This is because 90° × 3 = 270°.

To convert 270 degrees to radian measure in terms of pi, we will multiply 270º with (π/180°) that will be (270 × π) / 180 = (3π/2) radians.

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A 270-degree angle can be drawn using a protractor by following the steps described. The protractor is exactly placed at the center aligning with the 0º line and a line is drawn also known as the reference line, followed by counting the angle from 0º to 180º in the anticlockwise direction, and going up to another 90° angle from the point where it ended at 180º to make it a 270º angle. We mark this point and join it with the center. Hence the reflex of this angle taken in the anticlockwise direction gives us 270º.

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270 degreerotation

270-degree angle is also known as a reflex angle as it is greater than 180 degrees but lesser than a 360-degree angle. Let us look into the 270° angle representation on a unit circle by anticlockwise rotation.

A 270-degree angle is called a reflex angle because it is greater than a straight angle or 180° and less than a complete angle (360 degrees).

270-degree angle also represented as 270° is an angle that is greater than a straight angle. Any angle that is greater than 180º is known as a reflex angle. Therefore, 270º is a reflex angle. We can also define 270-degree angle as 3 right angles because 270° is a multiple of 90º, i.e., it can be expressed as 270º = 3 × 90º.

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We know that 270 degrees = 360 degrees - 90 degrees. Therefore, we will first construct a 90 degree angle using a compass and ruler and find the reflex of that angle which will be the 270 degree angle. We will be looking into the steps to construct a 270-degree angle as described below.

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