What term refers to a segment drawn from the center of the circle to any point on the circle

Learn about the most important parts of a circle: the center, radii, diameters, circumference, and so on.

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Definition of a circle
Parts of the circle
Features of the circle

Definition of a circle

A circle is the path traced out by a point, moving in a plane, that is always a fixed distance (the radius) from a fixed point (the centre).

Parts of the circle

Any interval (or line segment) drawn from the centre of a given circle to any point on the circle is called a radius (plural radii).

Any interval joining two points on the circle and passing through the centre is called the diameter of the circle.

Detailed description

Because every radius has the same length and every diameter has the same length, we often use the words 'radius' and 'diameter' to refer to either the interval in question or the length of that interval. Thus the diameter of a circle is twice the radius of that circle.

A diameter divides the circle into two congruent parts. Each part is called a semicircle. If we draw a radius perpendicular to the diameter in a semicircle, we obtain two congruent quadrants.

Any two radii divide the circle into two pieces. Each piece is called a sector (from the Latin word secare − to cut).

Features of the circle

A circle is formed by all points that lie a fixed distance r from a fixed point O.
Any interval drawn from the centre to a point on the circle is called a radius of the circle.
Any interval joining two points on the circle and passing through the centre is called a diameter of the circle.
A diameter divides the circle into two equal parts. Each part is called a semicircle.
If a radius is drawn cutting a semicircle into two equal parts, then each part is called a quadrant.
Any two radii divide the circle into two pieces. Each piece is called a sector.

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Answer:

1.) A

2.) C

3.) C

4.) B

5.) D

6.) C

7.) B

8.) C

9.) D

10.) A

Step-by-step explanation:

1.) The a line segment from the center of the circle to any point on the circle is a radius of the circle. By definition of a circle, all radii have the same length. We also use the term radius to mean the length of a radius of the circle.

2.) Any straight line segment connecting two points on a circle or ellipse is called a chord.

3.) A major arc is an arc that is greater than a semicircle. Adjacent angles are two angles that have the same vertex and a common side between them.

4.) A central angle is an angle whose vertex is located at the center of the circle and whose sides are radii. An arc is an unbroken part of the circle.

5.) Intercepted angleThe arc that is inside an inscribed angle and whose endpoints are on the angle. radiusThe distance from the center to the outer rim of a circle.

6.) 360°

Sum of Central Angles: The sum of the measures of the central angles of a circle with no points in common is 360° .

7.) semi-circle

An arc whose length is exactly one-half of the circumference of the circle is simply called a semi-circle. The line connecting the endpoints of a major arc or minor arc is called a chord.

8.) Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

9.) Inscribed angle: An angle whose vertex is a point on a circle and whose sides contain chords. The measure of an inscribed angle is half of the measure of its intercepted arc.

10.) Congruent arcs are arcs on circles with congruent radii that have the same degree measure. A minor arc is an arc whose degree measure is between 0º and 180º. A semicircle is an arc whose degree measure is exactly 180º. A major arc is an arc whose degree measure is between 180º and 360º.

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