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7-7 Areas of Circles and Sectors M11.C.1

7-7 Areas of Circles and Sectors M11.C.1. Objectives: 1)To find the areas of circles, sectors, and segments of circles. Area of a Circle. The area of a circle is the product of π and the square of the radius. A = π r ². Example: Real World Connection.

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7-7 Areas of Circles and Sectors M11.C.1

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  1. 7-7 Areas of Circles and SectorsM11.C.1 Objectives: 1)To find the areas of circles, sectors, and segments of circles.

  2. Area of a Circle • The area of a circle is the product of π and the square of the radius. • A = πr²

  3. Example: Real World Connection • A circular archery target has a 2 foot diameter. It is yellow except for a red bulls-eye at the center with a 6-in diameter. Find the area of the yellow region. Round to the nearest whole number.

  4. Example • How much more pizza is in a 12-in diameter pizza than in a 10-in pizza?

  5. Vocabulary • A sector of a circle is a region bounded by an arc of the circle and the two radii to the arcs endpoints. • You name a sector using one arc endpoint, the center of the circle, and the other arc endpoint.

  6. Area of a Sector of a Circle • The area of a sector is a fractional part of the area of the circle. • Formula:

  7. Finding the Area of a Sector • Find the area of the sector. Leave in terms of π • Sector ACB

  8. Vocabulary • A chord is a line that goes from one point on a circle to another, not going through the center. • A part of a circle bounded by an arc and the segment joining its endpoints is a segment of a circle.

  9. Area of a Segment Area of Sector Area of Triangle Area of Segment - =

  10. Example • Find the area of the segment of the circle.

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