360 Degree Angle
The 360-degree angle is a full angle or a complete angle as it forms a circle around a point. It is exactly double the straight angle (180-degree angle). If we talk about a real-life example of a 360-degree angle, then a perfect example is the angle between the two hands of a clock at 12 o'clock. The angle between the two hands of the clock is 360° because it forms a complete turn or a circle. Both the hands will overlap each other at 12 which represents an angle of 360 degrees.
|1.||What is 360 Degree Angle?|
|2.||360 Degree Angle Name|
|3.||How to Draw 360 Degree Angle?|
What is 360 Degree Angle?
A 360-degree angle is a complete angle and it is equal to a revolution. It is also called a full angle. The two arms of the angle making 360-degree overlap each other from the common vertex. A 360-degree angle does not change the direction of a point or a line. Look at the image given below shows how a 360-degree angle looks.
360 Degree Angle Name
An angle that measures 360 degrees is called a complete angle. Whenever we construct a 360-degree angle, it always forms a circle, that is why it is known as a complete angle. There are different names for angles of different measurements. For example, half of a 360-degree angle, i.e a 180-degree angle is known as a straight angle in geometry. Similarly, one-fourth of 360 degrees, that is 90-degree angle is known as a right angle. Angles that are less than 360 degrees but greater than 180 degrees are categorized as reflex angles.
How to Draw 360 Degree Angle?
The 360-degree angle can be drawn with the help of a protractor and compass.
Drawing 360-Degree Angle With Protractor
To draw a 360-degree angle using a protractor, there is a 360 degrees protractor available which is round in shape. It has a center in the middle which can be traced to draw a 360-degree angle.
Constructing 360-Degree Angle With a Compass
Follow the given steps to construct a 360-degree angle with the help of a compass.
- Step 1: Draw a ray with the help of a ruler and name it AB.
- Step 2: Place compass tip at A and choose a suitable width on the compass.
- Step 3: Place the pencil tip anywhere between A and B on ray AB and start drawing an arc.
- Step 4: Stop when you reach the same point again. That is the required 360° angle.
- The 360-degree angle is also called a complete angle.
- The angle around the center point of a circle is 360 degrees.
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Check these interesting articles related to 360-degree angles.
360 Degree Angle Examples
Example 1: Can you help Joseph in finding the difference between a 180° angle and a 360° angle?
Solution: The 180-degree angle is a straight line, known as a semi-circle. It changes the direction of the line or ray. A 360-degree angle forms a circle. Two arms of the angle forming 360 degrees overlap each other.
Example 2: If a 360-degree angle is divided into four parts such that the sum of three parts is 270 degrees, then what is the fourth angle?
Solution: Let the unknown angle be x.
sum of other three angles + x = 360°
270° + x = 360°
x = 360° - 270° = 90°
Therefore, the fourth angle is 90°. It is a right angle.
Example 3: There are three angles forming a complete angle together - angle A, angle B, and angle C. If angle A = 130 degrees, angle B = 90 degrees, then what is the measurement of angle C?
Solution: We know that a complete angle is a 360 degrees angle. That means, angle A + angle B + angle C = 360 degrees.
130° + 90° + C = 360°
C = 360° - (90° + 130°) = 140°
Therefore, the measurement of angle C is 140 degrees.
FAQs on 360 Degree Angle
What is a 360 Degree Angle Called?
A 360-degree angle is called a complete angle, a full angle, or a full turn. It forms a circle around a point. A perfect example of a 360-degree angle is two hands of a clock at 12 o'clock.
What does a 360 Degree Angle Look Like?
A 360-degree angle looks like a circle as it takes a complete turn or revolution around a point.
How to Draw 360 Degree Angle?
To construct a 360-degree angle, draw a ray with the help of a ruler. Place compass tip at the endpoint and draw an arc starting and ending at the same point on the ray. That angle will be the required angle.
How Many Right Angles Make 360 Degree Angle?
A right angle measures 90 degrees. To find the number of right angles needed for a 360-degree angle, we need to divide 360 by 90. So, 360/90 = 4. Therefore, 4 right angles make an angle of 360 degrees.
How to Draw a 360 Degree Angle with a Protractor?
There is a 360-degree protractor that is in a shape of a circle. So, to make a 360-degree angle with a protractor, draw a line, ray, or line segment. Place the center point of that protractor at any endpoint of the line. Trace the circle given at the center around the endpoint. That will be the required angle of 360 degrees.