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Using 360 degrees to describe a circle originates with the Babylonians through various geometrical equations and the founding of the number pi. It may also relate to the number of degrees of the arc length that the sun travels in a day, which is 15 degrees/hour x 24 = 360 degrees.
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Is a right angle 60 or 90 degrees?
The definition of a right angle is one quarter of a circle. If you're using the popular system of 360 degrees in a circle, then a right angle is 90 degrees.
How do you prove using a diagram that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitude of the two vectors?
You could draw a circle [center at origin] with radius of (a + b), for the two magnitudes a and b. This represents the sum of the magnitudes. Then draw one of the vectors starting at the origin [suppose it's vector a], and then draw a circle centered at the endpoint of vector a, with a radius of b. Drawing a circle demonstrates how the second vector can point in any direction relative to the first vector. The distance from the origin to a point on this second circle is the magnitude of the resultant vector. Graphically this second circle will be entirely inside the first circle and touching it at just one point. Since it lies within the first circle, the distance from the origin to a point on that circle will be less than or equal to the radius of the first circle.
How many degrees there are one quarter of a full angle?
A full circle is 360 degrees (90 x 4 = 360). Using the term, full angle, is too vague and could mean any angle. Using 90 degrees as an example. 90 ÷ 4 = 22.5 degrees. So, if any angle is divided by four, the result will give the quarter of that angle.
How to make a circle by using only ruler and pencil?
There is a hole in the ruler (i.e.) circle just make the circle using that
What is the exact value of cotangent 150 degrees?
Using the Circle Unit which is a chart used in precal and calc classes, you can see that angle 150 in radians is 5pi/6. Using this, the cot value is -Root3.
