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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.
45 degrees is the angle halfway between the floor and the wall of your house.
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.
Answer this question… half
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John Stith Pemberton
A protractor can be used to measure an angle. An angle is basically part of a circle. A complete circle is 360 degrees. A right-angle is 90 degrees, half a circle is 180 degrees, and so on.
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.
Half of a revolution of a circle is 180 degrees and its angles added together are supplementary.
Simply by measuring it. Or by drawing a circle with a radius of half the hypotenuse and having the vertex of the right angle as its centre and if the midpoint of the hypotenuse just touches the circle then this proves it.
All right triangles inscribed in a circle have their vertices on the circle and the hypotenuse as the circle's diameter. Thus the midpoint of the hypotenuse is the center of the circle nd all points on the circle are eqully as far from the center even so the vertex of the right angle.
A full circle is 360 degrees, half of that, an arc, is 180. Half an arc, or a right angle, is 90 degrees. Ever heard someone say "Wow, he did a complete 180" when someone changes their mind about something? This is where it comes from. If you are in a circle and turn around to face the exact opposite side of the circle, you have turned 180 degrees. Anyway, the answer is 90 degrees.
Fold it in half.
One half of a right angle is a 45 degree angle.
A straight angle is a half circle.
The length of an arc of a circle is the radius times the angle (in radians). So a full circle is an angle of 2*pi radians, and the circumference of a circle is 2*pi*radius. A half circle is pi*radius. Quarter circle is (pi/2)*radius, etc.