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Why is an inscribed angle that intercepts a semi-circle a right angle?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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Is every inscribed angle that intercepts a semicircle is a right angle or an acute angle or a obtuse angle?
a right angle
What kind of angle is inscribed in a semicircle?
Right Angle?
What is a triangle in a semicircle?
A right angle triangle will fit into a semicircle.
How is an angle in the semicircle be a right angle?
A semi circle is made up of two right angles.
What is angle of inscribed in semi circle?
A right angle triangle can fit into a semi-circle
What kind of an angle is the inscribed angle that intercepts a semicircle.?
A right angle.
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 angle inscribed in a semicircle?
It is 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.
What kind of angle is inscribed in a semicircle?
Right Angle?
What is the measure of an inscribed angle that intercepts an arc whose measure is 70?
35 I believe.
Any inscribed in a semicircle is a?
All triangles inscribed in a semicircle with one side of the triangle being the diameter of the semicircle are right triangles.
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.
What is a triangle in a semicircle?
A right angle triangle will fit into a semicircle.
How is an angle in the semicircle be a right angle?
A semi circle is made up of two right angles.
What is angle of inscribed in semi circle?
A right angle triangle can fit into a semi-circle
Why is a straight angle forms a straight line?
A straight angle is 180 degrees, or twice the measure of a right angle. Therefore, it looks like a right angle that has been folded out into a flat line. Another way is to look at the arch of a 180 degree angle as a semicircle. Connect both ends of the semicircle and you have a straight line.
