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Surface Area & Volume

Lesson 3. Surface Area & Volume. Parts of a Circle. Warm-Up. Simplify . 4 2 (5)(3) 2 29 – 5 2 Calculate the area of each figure. 9.1 cm. 21 km. 4 cm. 13.8 cm. 9 km. Parts of a Circle. Target: Identify, name and define parts of circles. Vocabulary.

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Surface Area & Volume

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  1. Lesson 3 Surface Area & Volume Parts of a Circle

  2. Warm-Up Simplify. • 42 • (5)(3)2 • 29 – 52 Calculate the area of each figure. 9.1 cm 21 km 4 cm 13.8 cm 9 km

  3. Parts of a Circle Target: Identify, name and define parts of circles.

  4. Vocabulary • Circle: The set of all points that are the same distance from a point called the center. • Center: The middle of a circle. • Radius: The distance from the center of a circle to any point on the edge. • Chord: A line segment with endpoints on the circle. • Diameter: The distance across a circle through the center. • Central Angle: An angle with its vertex at the center of the circle.

  5. Example 1 Use ⊙C to name each circle part. A chord • AB or EF A radius • CD or CE or CF A diameter • EF Central Angle • ∠ECD or ∠FCD or ∠FCE

  6. Example 2 The diameter of a circle is 12 centimeters. Find the radius. • Radius is half the diameter. 12 ÷ 2 = 6 • The radius is 6 cm. The radius of a circle is 7 inches. Find the diameter. • Diameter is double the radius. 7•2 = 14 • The diameter is 14 inches.

  7. Example 3 Find the measure of the missing central angle. • The sum of the central angles is 360. • Write an equation. 140 + 40 + 100 + x = 360 • Combine like terms. 280 + x = 360 • Subtract. –280 – 280x = 80 • The missing central angle , x, is 80º.

  8. Exit Problems • Draw M with radius AM, diameter PR and chord XY. • How many degrees are in a circle? • Name the longest chord in A.

  9. Communication Prompt • Why is the diameter the longest chord in a circle? • Why is proper notation important?

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