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Circle and Sector Area Calculations with Examples

Learn how to calculate the area of circles and sectors with detailed examples and formulas. Practice finding areas using radius and angle measurements. Discover the geometric properties of sectors in circles.

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Circle and Sector Area Calculations with Examples

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  1. 6.8 Areas of Circles & Sectors p. 230

  2. Thm 6.20 – Area of a Circle – A = r2 * Remember to square the radius 1st, then multiply by !

  3. Ex: Find the area of circle C. A = r2 A = (3)2 A = 9 cm2 OR 28.27 cm2 3 cm C

  4. Ex: Find the diameter of circle C if the area is 16 ft2. A = r2 16 = r2 16 = r2 ð16 = r 4 ft = r So, d = 8 ft.

  5. Sector of a Circle • The region bounded by 2 radii & their intercepted arc. Sector Also a sector • Visually, it might remind you of a slice of pizza or a piece of pie.

  6. Thm 6.21 – Area of a Sector –

  7. Ex: Find the area of the small sector shown. 135o 11 m

  8. Ex: L & M are 2 pts. on a circle R with r=50 cm & mLRM=150o. Find the areas of the sectors formed by LRM. II R 50 cm L 150o M I

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