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Circle Areas and Sectors: Formulas and Examples

Learn how to calculate the area of circles and sectors with step-by-step examples using the formula A = πr^2. Understand how to find the diameter and area of sectors within a circle. Practice solving problems with visual aids.

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Circle Areas and Sectors: Formulas and Examples

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  1. Areas of Circles & Sectors

  2. Thm 11.7 – 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 10-12 – 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

  9. Ex: Find the area of the shaded region. r2 4 cm (4)2 16 16 - 12ð3 4 cm 2 30o = 29.5 cm2 2ð3 4ð3

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