Splash Screen. Vocabulary circle center radius chord diameter concentric circles circumference pi (  ) inscribed circumscribed.

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Presentation transcript:

Splash Screen

Vocabulary circle center radius chord diameter concentric circles circumference pi (  ) inscribed circumscribed

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 d= 2rDiameter Formula 21= 2rd = = rSimplify. 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 Find Measures in Intersecting Circles First, find ZY. WZ + ZY= WY 5 + ZY= 8 ZY= 3 Next, find XY. XZ + ZY= XY = XY 14= XY Since the diameter of is 16 units, WY = 8. Similarly, the diameter of is 22 units, so XZ = 11. WZ is part of radius XZ and part of radius WY.

Example 3 Find Measures in Intersecting Circles Answer: XY = 14 units

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. Since the radius is 30 feet, and d = 2r, the diameter = 2(30) or 60 feet. C=  dCircumference formula =  (60)Substitution = 60  Simplify. ≈ Use a calculator. 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. Circumference Formula Substitution Use a calculator. Divide each side by.

Example 5 Find Diameter and Radius Answer:d ≈ ft; r ≈ ft Radius Formula Use a calculator.

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.

Assignment: pg #10-38 EVENS only ----Then ask about making corrections to last time’s worksheet!