CHAPTER 10.1 CIRCLES AND CIRCUMFERENCE. A circle is the set of all points in plane equidistant from a given point called the center of the circle CIRCLES.

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10.1 Circles and Circumference

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Presentation transcript:

CHAPTER 10.1 CIRCLES AND CIRCUMFERENCE

A circle is the set of all points in plane equidistant from a given point called the center of the circle CIRCLES

CONCEPT

EXAMPLE 1 Identify Segments in a Circle A. Name the circle and identify a radius.

EXAMPLE 1 Identify Segments in a Circle B. Identify a chord and a diameter of the circle.

EXAMPLE 1 A. Name the circle and identify a radius. A. B. C. D.

EXAMPLE 1 B. Which segment is not a chord? A. B. C. D.

CONCEPT

EXAMPLE 2 Find Radius and Diameter Answer: QV = 10.5 cm If RT = 21 cm, what is the length of QV? RT is a diameter and QV is a radius.

EXAMPLE 2 A.12 cm B.13 cm C.16 cm D.26 cm If QS = 26 cm, what is the length of RV?

CONCEPT

EXAMPLE 3 Find Measures in Intersecting Circles

EXAMPLE 3 A.3 in. B.5 in. C.7 in. D.9 in.

CONCEPT

EXAMPLE 4 Find Circumference CROP CIRCLES A series of crop circles was discovered in Alberta, Canada, on September 4, The largest of the three circles had a radius of 30 feet. Find its circumference. Answer: The circumference of the crop circle is 60  feet or about feet.

EXAMPLE 4 A feet B feet C feet D feet The Unisphere is a giant steel globe that sits in Flushing Meadows-Corona Park in Queens, New York. It has a diameter of 120 feet. Find its circumference.

EXAMPLE 5 Find Diameter and Radius Find the diameter and the radius of a circle to the nearest hundredth if the circumference of the circle is 65.4 feet.

EXAMPLE 5 A.8.4 m B.5.35 m C.2.67 m D.16.8 m Find the radius of a circle to the nearest hundredth if its circumference is 16.8 meters.

EXAMPLE 6 Circumference of Circumscribed Polygon

EXAMPLE 6 A. B. C. D.