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10-1Circles and Circumference. You identified and used parts of parallelograms. Identify and use parts of a circle. Solve problems involving the circumference of a circle. Definition. center. A circle is the locus of points in a plane equidistant from a given point. - PowerPoint PPT Presentation
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10-1Circles and Circumference
You identified and used parts of parallelograms.
• Identify and use parts of a circle.
• Solve problems involving the circumference of a circle.
Definition
A circle is the locus of points in a plane equidistant from a given point.
That point is the center of the circle.
center
Circle Parts
A circle is named by its center.
A radius is a segment from the center to any point on the circle.
A diameter is a segment that contains the center of the circle and has endpoints on the circle.
Qּס
Qּס
radius
diameter
Definition
A chord is a line segment that joins two points on a circle.
AB is a chord of ּסD
Where would you find the largest chord in any circle?
A
B
D
By definition, the distance from the center of a circle to any point on the circle is always the same. All radii of a circle are congruent. A diameter (d) is made is made up of two radii.
1 raduis 1 raduis
p. 698
Answer: QV = 10.5 cm
d = 2r Diameter Formula
21 = 2r d = 21
10.5 = r Simplify.
If RT = 21 cm, what is the length of QV?
RT is a diameter and QV is a radius.
Exterior, Interior, Concentric
interior
exterior
Concentric circles are two coplanar circles with the same center.
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