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Why do you subtract 2 from n to find the sum of interior angles?
This has to do with the way in which the sum of the angles is derived. First you select a point inside the polygon and then join that point to each of the vertices. For a polygon with n sides, this gives rise to n triangles. The sum of the 3 angles of any triangle is 180 degrees. So the sum of the angles of all the triangles is n*180 degrees. Now, the "outer" angles of these triangles correspond to the interior angles of the polygon. But the sum also includes the angles formed arounf the central point. The sum of all the angles around this central point is 360 degrees. This is not part of the sum of the interior angles of the polygon and so must be subtracted. Thus, the interior angles of a polygon sum to n*180 - 360 degrees or 180*(n- 2) degrees.
Is there an infinite number of central angles in a circle?
To count how many different central angles a circle has, count how many different numbers there are between zero and 360. Include all of the possible fractions. You should discover that the number is very big.
What is the definition of the sum on interior angles?
a triangle= 180 degrees circle= 360 degrees that is all I know
What is the sum of the angles of a 14-gon?
Sum of exterior angles: 360 degrees Sum of interior angles: 2160
What is the sum of two complementary angles?
The sum of two complementary angles is 90 degrees. The sum of two supplementary angles is 180 degrees.
THE SUM OF the central angles of a circle depends on the measure of the radius?
Never. The radius of any central angle of one circle will ALWAYS be the same. And not only that ... To answer the question (or to correct the statement that was stated in the place where a question was to be expected): THE SUM of the central angles of a circle is always 360 degrees, whether the radius of the circle is 1 nanometer or 1 light-year.
What are the central angles of a circle?
The central angle is the angle that has its vertex at the center of the circle.
What is the sum of the angles of a circle?
360 degrees
What is the sum of central angles in a triangle?
180
If the radius of a circle is 6 yd the diameter is?
What is the sum of a center angles of a circle
What are the different types of angles in a circle?
There are many angles inside a circle. You have inscribed angles, right angles, and central angles. These angles are formed from using chords, secants, and tangents.
Sum of the interior angles of a circle?
Infinity! Because you can split circle into countless triangles!
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.
Will an inscribed angle always have its vertex on the circle?
Yes all inscribed angles in a circle have their vertex on the circumference of the circle. Central angles have their vertex at the center of the circle.
How many central angles can or does a circle have?
Infinitely many.
If the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles how many sides does it have?
1 a circle 360 interior angles 360 exterior agles
Is there an infinite number of possible central angles in a circle?
Yes.
