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Definition
| from the L word circulus meaning ring a circle is a set of points in a plane each of which is the same distance from a speciic point. formally in our geometry a set of points is a circle if and only if it is the set of all points in a plane that are a given distance from a given point. |
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Definition
| the fixed point from which the distance to each point ona circle is measured |
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| from the L word meaning spoke of a wheel a radius of a circle is a line segemnt from the center of the circle to any point on the circle. formally in our geometry a line segment is a radius of a circle if and only if the endpoints of the segment are teh center of the circle and a point on the circle |
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Definition
| from a latin word meaning cord as in a piece of string a chord of a circle is a line segment joining anyh tow points on a circle. formally in our geometry a line segment ifs a chord of a circle if and only if the enpoints of the segment are two points on teh circle |
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Definition
| from 2 G words dia and metron meaning to measure across a diameter fo a circle measures across a circle at its widest point. foramlly in our geometry a line segment is a diameter of a circle if aond only if it is a chordof the circle and it passes through the center of the circle |
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Term
| central angle of a circle |
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Definition
| an angle formed by any tow radii fo a circle. formally in our geometry an angle is a central angel of a circle if and only if the vertex of the angle is teh center of teh circle |
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Definition
| from a L word meaning bow this is any set of fontinuous points on a circle |
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Definition
| an arc whose points are in teh interior of a central angle of a circle. formally in our geometry an arc of a circule is a minor arc if and only if it is the union of two points on the circle and the set of points on teh circle which lie in teh interior of the angle formedn by the radii containing the two points. Note: Remember tha the interior fo an angle is definded ot be the set of point, in a half plane that are between the two rays of the angle |
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Term
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Definition
| an arc whose points are in exterior of a central angle of a circle. formally in our geometry an arc of a circle is a major arc if and only if it is the union of two points on teh circle and the set of point on the circle which lie in the exteror of the angle formed by the radii containing the two points |
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Term
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Definition
| from a L word meaing half this is an arc which is one half of a circle formally in our geometry an arc of a circle is a semicircle if aond only if it is an arc whose endpoints are the endpoints of a diameter of the fcircle |
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Term
| measure of a minor arc of a circle |
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Definition
| formally in our geometry the measure of a minor arc of a circle is equal to the related central angle |
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Term
| measure of a major arc of a circle |
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Definition
| formally in our geometry the measure of a major arc of a circle is equal to 360- the measure of the related arc |
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| measure of a complete circle |
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