Want this question answered?
An angle is the measurement of two lines drawn from the centre of a circle. A circle is 380 degrees. So in an angle of 90 degrees, one line would be vertical at 0 degrees, and the second line would be horizontal at 90 degrees. So the relationship is that you can't have one without the other.
Assuming the measure of the arc refers to the angle at the centre of the circle, the answer is 180 - 150 = 30 degrees.
The angle between the two tangents is 20 degrees.
100 degrees
20 degrees
There are 360 degrees in a full circle, so 472 must be 360 + 112 = 472 degrees. So the line on the circle is in the same position as 112 degrees!
An angle is the measurement of two lines drawn from the centre of a circle. A circle is 380 degrees. So in an angle of 90 degrees, one line would be vertical at 0 degrees, and the second line would be horizontal at 90 degrees. So the relationship is that you can't have one without the other.
90 degrees. QED.
Assuming the measure of the arc refers to the angle at the centre of the circle, the answer is 180 - 150 = 30 degrees.
The angle between the two tangents is 20 degrees.
100 degrees
20 degrees
The Arctic Circle is around 66.5 degrees north.
A circle contains 360 degrees. Draw a circle, add a radius to any point on it, and then rotate the radius completely around. After it has returned to the point it initially intersected the curve, the radius will have rotated through 360 degrees.(another explanation, maybe no better.)A complete circle measures 360 degrees, so a half-circle is 180 degrees, a quarter-circle is 90 degrees and so forth. Another way to look at it is in terms of the central angle formed by the radii drawn from each endpoint of the arc - the measure of the arc in degrees is the same as the measure of this central angle in degrees.
Start by plotting a base line from the center to the 12:00 position (imagine the circle is a clock face). The first plot will be some angle of rotation (clockwise) from this line. Determine this angle of rotation by multiplying (percentage/100) x 360 degrees. Say the percentage was 40% you would multiply 0.40 x 360 degrees = 144 degrees. Take your protractor and draw a line from center at a 144 degree angle from the first (12:00) line. Proceed with the remaining values using that previously drawn line as the base line for the next angle of rotation.
The square drawn in a right angle simply is to indicate that the angle is, indeed, 90 degrees.
Nothing can be over 360 degrees. The angle 2000 degrees is not real as it cannot be drawn nor expressed.