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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.
An angle whose vertex is on the circumference of a circle and whose sides include chords of the circle is what kind of angle?
An inscribed angle.
An angle whose vertex is at the center of a circle is a middle angle of that circle True or false?
False. There are infinitely many angles at the centre of the circle.
An angle whose measure is 90?
Right Angle
An angle whose degree measure is between 0 and 90?
An angle whose degree measure is between 0 and 90 is an acute angle. An angle whose degree measure is between 90 and 180 is an obtuse angle. These are basic properties of geometry.
What is the measure of an inscribed angle that intercepts an arc whose measure is 104 degress?
(360 - 104)/2 = 128 degrees.
Is an inscribed angle that intercepts an arc whose measure is greater than 180 degrees always acute?
Not if the curve is not a circle.
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.
What is an incribed angle in circle?
An inscribed angle is an angle whose vertex is on the circle and whose sides are chords.
An angle whose vertex is the center of a circle is a?
Inscribed angle
What is an angle whose vertex lies on the circle and whose sides are chords of the circle?
Inscribed angle
What do you call the angle whose vertex on the circle and whose sides contain chords of the circle?
It is an inscribed angle.
An angle whose vertex is on the circumference of a circle and whose sides include chords of the circle is what kind of angle?
An inscribed angle.
An angle whose vertex is at the center of a circle is a middle angle of that circle True or false?
False. There are infinitely many angles at the centre of the circle.
What is the measure of an angle formed by a tangent and a secant drawn to a circle from an external point if it intercepts arcs whose measures are 70 and 30?
20 degrees
An angle whose measure is exactly 180 degrees?
An angle whose measure is exactly 180 degrees is a straight angle.
An angle whose measure is 90?
Right Angle
