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Understanding Areas of Circles and Sectors

Learn how to calculate the area of a circle and sectors, including the formula and steps. Explore examples and understand the concept easily.

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Understanding Areas of Circles and Sectors

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  1. Section 11-5 Areas of Circles and Sectors

  2. Area of a Circle • The area of a circle is times the square of the radius. Formula:

  3. A B O C Sector of a circle • A region bounded by two radii of the circle and their intercepted arc. Sector AOB *The unshaded region is also a sector!

  4. Slices of Pizza are Sectors!

  5. To find the area of a sector: • Find the Area of the Circle • Find the ratio of the measure of the arc to the whole circle. • Find the product of the ratio and Area.

  6. Area of a sector = In General:

  7. 1. 5 units2 3. units2 2. Example: Find the area of sector AOB.

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