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Circle Area Calculations | Helpful Guide for Finding Area and Sectors

Learn how to calculate the areas of circles and sectors with step-by-step examples using formulas involving radius, pi, and angles.

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Circle Area Calculations | Helpful Guide for Finding Area and Sectors

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  1. Unit 9 Lesson 4 – Areas of Circles and Sectors

  2. Area of a Circle: A= r2

  3. Area between two radii in a circle Area of a Sector:

  4. 1. Find the area of the circle. A= r2 A= (7)2 A= 49cm2

  5. 1. Find the area of the circle. A= r2 A= (6.5)2 A= 42.25in2

  6. 2. Find the area of the shaded figure. A = 4 + 4 4 r2 2 A = + bh (2)2 2 A = + (4)(4) 4 2 A = + 16 A = ( ) 2 + 16 ft2

  7. 2. Find the area of the shaded figure. 4in A = – 8in r2 s2 – A = 8in (4)2 (8)2 – A = 16 64 – A = ( ) 16 64 – in2 A =

  8. 3. The area of a circle is 58 square inches. Find the diameter. Round to two decimal places. A = r2 58 = r2   18.46 = r2 4.30in = r d = 8.59in

  9. 4. Find the area of sector formed by ACB. Round to two decimal places. Leave answers in terms of pi. 360x = 6000

  10. 5. Find the area of sector formed by PSQ. Round to two decimal places. Leave answers in terms of pi. 360x = 40000 x = 11.11m2

  11. 6. Find the area of sector formed by ACB. Round to two decimal places. Leave answers in terms of pi. 110° 360x = 7040

  12. 7. Find the area of sector formed by PSQ. Round to two decimal places. Leave answers in terms of pi. 282° 360x = 7050 

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