10.1 Circles. Definition: Although all circles have the same shape, their sizes are determined by...
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![Page 1: 10.1 Circles. Definition: Although all circles have the same shape, their sizes are determined by the measures of their radii. Two or more coplanar circles.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649eb65503460f94bbf5dd/html5/thumbnails/1.jpg)
10.1
Circles
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Definition:
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Although all circles have the same shape, their sizes are determined by the measures of their radii.
Two or more coplanar circles with the same center are called concentric circles.
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Two circles are congruent if the have the same radii.
A point is inside (in the interior of) a circle if its distance from the center is less than the radius.
interior
O
A
Point O and A are in the interior of Circle O.
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A point is outside (in the exterior of) a circle if its distance from the center is greater than the radius.
AW
Point W is in the exterior of Circle A.
A point is on a circle if its distance from the center is equal to the radius.
S
Point S is on Circle A.
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Chords and Diameters:
Points on a circle can be connected by segments called chords.
A chord of a circle is a segment joining any two points on the circle.
A diameter of a circle is a chord that passes through the center of the circle.
The longest chord of a circle is the diameter.
chord
diameter
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Formulas to know!
Circumference:C = 2 rorC = d
Area = r2
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