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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.
Angle inscribed in a semicircle?
180 degrees * * * * * No, it is 90 degrees.
What is an angle in a circle whose vertex is at the center of the circle?
Central Angle
How do you find the measure of the central angle?
the measure of the inscribed angle is______ its corresponding central angle
Is a semicircle a convex polygon?
It is convex if you look at it from the inside but it is not any kind of polygon.
What kind of angle is inscribed in a semicircle?
Right Angle?
What kind of an angle is the inscribed angle that intercepts a semicircle.?
A right angle.
What is defined as an arc the lies between the sides of a central angle of 180 degrees?
A semicircle.A semicircle.A semicircle.A semicircle.
What describes an arc that lies between the sides of a central angle of 180?
With a central angle of 180° it is a straight line and so the arc is a semi-circle
What is an arc that lies between the sides of an acute central angle called?
minor arc
What is a triangle in a semicircle?
A right angle triangle will fit into a semicircle.
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.
What is the angle inscribed in a semicircle?
It is a right angle.
What angle inscribed in semicircle?
180 degrees
Does a semicircle have a straight line angle?
Yes
Is every inscribed angle that intercepts a semicircle is a right angle or an acute angle or a obtuse angle?
a right angle
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.
