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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.
How do you divide a circle into five equal parts?
If a circle is comprised of 360 degrees, then each of the five sections will encompass 72 degrees. From an arbitrary radius, using a protractor, measure 72 degrees, then continue around the circle.
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 convert percents to degrees when using circle graph?
Multiply the percentage by 3.6
How do you draw 1 fifth of a circle?
a circle is 360 degrees. 1 5th = 360/5 = 72 degrees mark a starting point and draw a straight line and using a protractor find 72 degrees from that point and draw a line to that. now using a string or compass trace the arc between the 2 lines. You now have a wedge that is 1 5th of the circle.
The opposite angles of a quadrilateral inscribed in a circle are?
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
How do you shade 2 thirds of a circle?
To shade two-thirds of a circle, you first need to understand that a full circle represents 360 degrees. Two-thirds of a circle would then be 240 degrees (2/3 * 360 = 240). To visually represent this shading, you can start by drawing the full circle. Then, mark off 240 degrees of the circle, starting from any point on the circumference, and shade the area within those markings to represent two-thirds of the circle.
How do you draw an angle 110 degree using ruler and compass?
Construct a circle and divide the circumference into 36 equal arcs Each arc will represent 10 degrees and 11 of them subtended to the circle's centre will create an obtuse angle of 110 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.
Why do you use circle graphs for percents?
Because it's a nice visual tool, and all the segments will add to a complete whole.To fill in a pie chart with percents (that all add up to 100%), here's what you do:(1) Identify the percent of the circle that you want to fill in. Say you want to color 45% of the circle red--that's a pretty big slice. Keep in mind that 45% in decimal form is 0.45 (I just moved the decimal over two places to the left).(2) Take that decimal, 0.45 in this case, and multipy it by 360, because there are 360 degrees in a complete circle. 0.45*360 = 162, so you will color 162 degrees of the 360 degree circle.(3) Use a protractor to draw a circle (one half at a time, probably) complete with an origin, the point in the very middle. Also draw one straight line (anywhere) from the origin to the edge of the circle.(4) Place the 0 degree line on your protractor over the line you just drew. Using the marks on your protractor, mark on the edge of your circle where 162 degrees is, in reference to the first straight line.(5) Remove your protractor and draw another straight line from the 162 degree mark you made on the edge of your circle to the origin. Between those two lines is 162 degrees, or 45% of a complete circle.This is process can be repeated for any percentage between 0 and 100.
What unites are used to measure wind direction?
Wind direction is typically measured in degrees, usually using a compass rose with 360 degrees representing a full circle. Another common unit used to describe wind direction is points on the compass, with 16 equally spaced divisions (such as N, NE, E, SE, S, SW, W, NW).
Find the value of sin 300 degrees?
sin 300 = -sin 60 = -sqrt(3)/2 you can get this because using the unit 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.
