
If we will draw a bisector between the circle what we will say about the arc: major arc or minor arc?
Answer
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Hint:
The bisector of a circle is the diameter of the circle which makes 180 degrees at the centre, the minor arc is defined as the arc which makes an angle less than 180 degrees at the centre and the major arc is defined as the arc which makes an angle greater than 180 degrees at the centre.
Complete step by step solution:
We know that, The minor arc is defined as the arc which makes an angle less than 180 degrees at the centre. A major arc is defined as the arc which makes an angle greater than 180 degrees at the centre. In the question it is given that a bisector is drawn.
It implies its diameter of circle which makes an angle of 180 degrees at Centre such a bisector neither makes major arc nor minor arc, it forms semi-circle.
Additional Information: Arc: The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped part way around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees. Below an arc is pictured.
The arc above contains points A, B, and all the points between them. Every pair of endpoints defines two arcs. An arc whose measure is less than 180 degrees is called a minor arc. An arc whose measure is greater than 180 degrees is called a major arc. An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two. Every pair of endpoints on a circle either defines one minor arc and one major arc, or two semicircles. Only when the endpoints are endpoints of a diameter is the circle divided into semicircles.
From this point on, unless otherwise mentioned, when arcs are discussed you may assume the arc is a minor arc.
Note: It is important to have the knowledge about different two dimensional shapes of geometry and their properties, such as here we should have knowledge about the circle and its properties such as its diameter, major arc and minor arc; to answer such a question.
The bisector of a circle is the diameter of the circle which makes 180 degrees at the centre, the minor arc is defined as the arc which makes an angle less than 180 degrees at the centre and the major arc is defined as the arc which makes an angle greater than 180 degrees at the centre.
Complete step by step solution:
We know that, The minor arc is defined as the arc which makes an angle less than 180 degrees at the centre. A major arc is defined as the arc which makes an angle greater than 180 degrees at the centre. In the question it is given that a bisector is drawn.
It implies its diameter of circle which makes an angle of 180 degrees at Centre such a bisector neither makes major arc nor minor arc, it forms semi-circle.
Additional Information: Arc: The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped part way around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees. Below an arc is pictured.
The arc above contains points A, B, and all the points between them. Every pair of endpoints defines two arcs. An arc whose measure is less than 180 degrees is called a minor arc. An arc whose measure is greater than 180 degrees is called a major arc. An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two. Every pair of endpoints on a circle either defines one minor arc and one major arc, or two semicircles. Only when the endpoints are endpoints of a diameter is the circle divided into semicircles.
From this point on, unless otherwise mentioned, when arcs are discussed you may assume the arc is a minor arc.
Note: It is important to have the knowledge about different two dimensional shapes of geometry and their properties, such as here we should have knowledge about the circle and its properties such as its diameter, major arc and minor arc; to answer such a question.
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