Chapter 10: Area

1
Chapter 10 Area

• 10.7
• Areas of Circles Sectors

2
Theorem 10-11

• Area of a Circle
• The area of a circle is the product of p and the
  square of the radius.

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Example 1

• How much more pizza is in a 12-inch diameter
  pizze than in a 10-inch pizza?

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Sector of a Circle

• Region bounded by an arc of the circle and the
  two radii to the arcs endpoints
• Named using one endpoint of the arc, the center
  of the circle, and the other endpoint of the arc
• Area of a sector is a fractional part of the
  circle

5
Theorem 10-12

• Area of a Sector of a Circle
• The area of a sector of a circle is the product
  of the ratio (measure of the arc/360) and the
  area of the circle.

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Example 2

• Find the area of sector ZOM. Leave your answer
  in terms of p.

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Example 2a

• A circle has a diameter of 20 cm. What is the
  area of a sector bounded by a 208 major arc?
  Round your answer to the nearest tenth.

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Segment of a Circle
9
Example 3

• Find the area of the shaded segment. Round your
  answer to the nearest tenth.

10
Example 3a

• A circle has a radius of 12 cm. Find the area of
  the smaller segment of the circle determined by a
  60 arc. Round your answer to the nearest tenth.

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Homework

• P. 577
• 2, 4, 10, 12, 18, 24, 26, 35