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What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
What angle is between 90 and 180?
An angle that is between 90 degrees and 180 degrees is called an obtuse angle. Ex. : 175 degrees, 140 degrees.
Is obtuse angle more than 180 degrees?
No. An obtuse angle is between 90 degrees to 180 degrees/ No. An obtuse angle is between 90 degrees to 180 degrees/
If a central angle measures 87 degrees then its arc will measure?
87 degrees
When is secant not defined?
The secant of an angle is the reciprocal of the cosine of the angle. So the secant is not defined whenever the cosine is zero That is, whenever the angle is a multiple of 180 degrees (or pi radians).
What is defined to be an arc that has an central angle with the measure of 180 degrees?
If the arc is circular, such a figure is a semicircle or half circle.
Application of relation between arc of length and central angle?
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
What would be the central angle of a 12 sided polygon?
Any angle between 0 and 360 degrees.Any angle between 0 and 360 degrees.Any angle between 0 and 360 degrees.Any angle between 0 and 360 degrees.
If a central angle measures 180 degrees what is it called?
An angle of between 90 degrees and 180 degrees is called an obtuse angle, an angle that is exactly 180 degrees is called a straight angle (because it creates a straight line), and an angle of more then 180 degrees is called a reflex angle.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
Can a right angle equal 180 degrees?
No. A right angle is defined to be 90 degrees.
Which of the following is defined to be an arc that lies between the sides of a central angle of 180?
major arc! (Apex)
What describes an arc that lies between the sides of a central angle of 180?
An arc that lies between the sides of a central angle of 180 degrees is known as a semicircle. A central angle of 180 degrees is half of a full circle, so the corresponding arc covers half of the circumference of the circle. In geometric terms, a semicircle is a special case of an arc where the angle subtended by the arc is exactly 180 degrees.
What is the relation between the arc length and angle for a sector of a circle?
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
Does a central anglehave to equal 90 degrees?
a central angle does NOT have to equal 90 degrees
What is the measure in degrees of each central angle of a regular 15-sided polygon?
The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================
What is the angle between two terminal atoms and the central atom?
The angle between two terminal atoms and the central atom in a molecule depends on its molecular geometry. For example, in a trigonal planar geometry, the angle is 120 degrees, while in a tetrahedral geometry, the angle is 109.5 degrees. These angles are determined by the electron repulsion between the bonding and non-bonding pairs around the central atom.
