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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.

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โˆ™ 2012-03-02 16:01:52
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Q: Why is an inscribed angle that intercepts a semi-circle a right angle?
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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 kind of angle is inscribed in a semicircle?

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 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.


How do you work out angles in a semi-circle?

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle.The other two endpoints define an intercepted arc on the circle Any angle inscribed in a semi-circle is a right angle. The proof is simply that the intercepted arc is 180 so the angle must be half of that or 90 degrees.


Which are Thales's of Miletus five theorems of elementary geometry?

A circle is bisected by its diameterAngles at the base of any isosceles triangle are equal.If two straight lines intersect, the opposite angles formed are equal.If one triangle has two angles and one side equal to another triangle, the two triangles are equal in all respects.Any angle inscribed in a semicircle is a right angle. This is known as Thales' Theorem.


A right angle has one right angle?

a right angle is a right angle


Why is a right angle sometimes called a right angle?

Because a right angle is a right angle.


A right angle is an angle that has a?

A right angle is a angle with 90o


What is an right angle right angle-an angle that has a?

Assuming your question is what makes a right-angle, it is an angle of 90o .


What is the negation of angle a is a right angle?

It is: "angle a is not a right angle" or "angle a is greater than or less than a right angle".


What angle is the biggest in a right angle?

The right angle.


What is y equals -x using intercepts?

y = -xBoth intercepts are at the origin. From there, the line slopes up to the leftand down to the right.


Is a parallelogram inscribed in a circle always a rectangle?

Yes. The corners must be right angles for it to be inscribed on the circle.


Why is there a right angle but not a left angle?

because a right angle is right and a left angle is wrong


What is a left angle?

a left angle is the opposite from a right angle :)


If a angle measure is 90 does the angle have to be and right or can it be and obtuse angle to?

Right angle.