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There are always two angles between two radii of the same circle ... starting at one of them
and going each direction to the other one.
If you define the angle between them as the smaller of the two angles, then it can be anything
between 0° and 180°.
If you define it as the larger of the two, then it can be anything between 180° and 360°.
If you don't care which of the two angles is measured, then it can be anything between 0° and 360°.
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All radii have the same measure?
Yes in a particular circle
Relationship between degree of measure of a central angle and the arc it intercepts?
Arc length is equal to radius times the angle the arc subtends (makes) at the centre of the circle, but the angle needs to be in radians. Set your calculator to radians instead of degrees, or, to change degrees to radians, divide by 180 and times pi. The formula comes from the fact that the length of the arc is proportional to the circumference of the circle in the same ratio as the angle at the centre is to the complete revolution at the centre, so length of arc: circumference of circle = angle size : 360o arc/(2*pi*r) = angle in degrees/360 or angle in radians/(2*pi) so arc length is angle in degrees divided by 360, times the circumference of the circle. Answer will be in the same measurement unit as the radius.
What is the central angle of a circle with a diameter of 20 inches and divided into 20 congruent sectors?
1
Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.-------------------------------------------------------------------------------------------By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word). Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
Why does cos negative theta equal cos postitive theta?
The cosine is simply the x-coordinate of the unitary circle. It helps to draw the circle, and the sine and cosine (x and y coordinates), to visualize this. The y-coordinate is the same for a positive angle and for the corresponding negative angle.
How do the lengths of two radii of the same circle compare?
The sum of two radii of a circle is the same as the diameter of the circle.
Are two radii of a circle congruent?
Yes. All radii of the same circle have the same length.
Is it true that All radii of a circle are equal.?
Yes, providing that the radii are all in the same circle
All radii in a circle are the same length?
Yes providing that they are in the same circle
How do you find the arc length of a circle that has an inscribed polygon?
What do you mean by "arc length of a circle"? If you mean the arc length between two adjacent vertices of the inscribed polygon, then: If the polygon is irregular then the arc length between adjacent vertices of the polygon will vary and it is impossible to calculate and the angle between the radii must be measured from the diagram using a protractor if the angle is not marked. The angle is a fraction of a whole turn (which is 360° or 2π radians) which can be multiplied by the circumference of the circle to find the arc length between the radii: arc_length = 2πradius × angle/angle_of_full_turn → arc_length = 2πradius × angle_in_degrees/360° or arc_length = 2πradius × angle_in_radians/2π = radius × angle_in_radians If there is a regular polygon inscribed in a circle, then there will be a constant angle between the radii of the circle between the adjacent vertices of the polygon and each arc between adjacent vertices will be the same length; assuming you know the radius of the circle, the arc length is thus one number_of_sides_th of the circumference of the circle, namely: arc_length_between_adjacent_vertices_of_inscribed_regular_polygon = 2πradius ÷ number_of_sides
How many radiuses does a circle have?
The plural of 'radius' is 'radii', not 'radiuses'. A circle has an infinite number of radii, but they are all of the same length.
Do all the radii of a circle have different lengths?
NO. All the radii of a circle are of exactly the same length. In fact, that is the definition of the locus of a point describing a circle.
A circle will have different radii but they will all be the same length?
Yes, all radii of a circle have the same length. One often thinks of the radius as being this length.
All the radii of a circle have the same length?
yes
How to measure the length of an arc betwwn two radii in a circle?
The length of an arc around the circumference of a circle between any two radii, where the angle between the radii is known, is equivalent to the angle over 2*pi*r. Well for direct measurement one can takea circular disk of the same radius of the circle under consideration and move the disk on a measuring instrument (Ruler, scale) in such a way that the point where first radius line cuts the circumference should be zero mark than roll the disk on the scaleto that point where the second radius cuts the circumference. the length of the arc is given by the scale.
Do all radii have the same measurements?
Yes, within the same circle
Is all radii of a circle equal?
Yes, providing that each radius is in the same circle
