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What do you call the angle whose vertex is at the center of the circle and whose sides are the radii of the circle?
It is the subtended angle of the arc
What is the value of the degree of an angle in a semi-circle?
An angle subtended at the semicircular arc is 90 degrees.
What is an angle whose vertex whose vetex is the center of a circle?
It will be the same angle subtended by its circumference.
What is a 90 degree angle subtended by?
May things, but the probable answer sought here is a diameter of a circle, at the circumference of the circle.
When a triangle with one side length the diameter of a circle is inscribed in that circle does it have to be a right triangle?
Yes. It follows from one of the circle theorems which states that the angle subtended in a semicircle is a right angle.
The measure of a major arc is greater than 180?
A circle subtends 360° . Therefore. if the angle subtended at the centre of a circle by an arc is greater than 180° then this is the major arc. By comparison, the minor arc will subtend an angle less than 180°
What do you call the angle whose vertex is at the center of the circle and whose sides are the radii of the circle?
It is the subtended angle of the arc
What is the relationship between triangle chords and the angles they subtend within the triangle?
In a triangle, the chords connecting the vertices to the opposite sides are related to the angles they create. The angle subtended by a chord at the center of the triangle is twice the angle subtended by the same chord at the circumference of the triangle.
What is an arc central angle and radius of the circle?
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
What is the value of the degree of an angle in a semi-circle?
An angle subtended at the semicircular arc is 90 degrees.
What is an angle whose vertex whose vetex is the center of a circle?
It will be the same angle subtended by its circumference.
Can there be congruent arcs on a circle?
Yes, there can be congruent arcs on a circle. Arcs which subtend the same angle at the center are considered as congruent.
Why is an inscribed angle that intercepts a semi-circle a right angle?
It is the consequence of one of the circle theorems and in some books, it is considered a theorem itself. The underlying proposition is that the angle subtended at the circumference of the circle by any arc of a circle is half the angle subtended at the centre. In the case of a semicircle, the arc is the half circle and the angle at the centre is the one that the diameter makes at the centre of the circle ie 180 degrees. So the angle at the circumference is half that ie 90 degrees.
What is a 90 degree angle subtended by?
May things, but the probable answer sought here is a diameter of a circle, at the circumference of the circle.
When a triangle with one side length the diameter of a circle is inscribed in that circle does it have to be a right triangle?
Yes. It follows from one of the circle theorems which states that the angle subtended in a semicircle is a right angle.
An angle subtended by an arc is double at the center?
an angle subtended by an arc is double at the center
Explain the difference between a central angle and an inscribed angle?
A central angle has its vertex at the center of a circle, and two radii form the Arms. Central angle AOC is described as subtended by the chords AC and by the arc AC. An inscribed angle has its vertex on the circle, and two chords form the arms. Inscribed angle ABC is also described as subtended by the chord AC and by the arc AC.
