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The Circle

The Circle. Area of a circle. Fractional area of a circle. www.mathsrevision.com. Exam Type Questions. Starter Questions. 6. 5. www.mathsrevision.com. If we break the circle into equal sectors And lay them out side by side We get very close to a rectangle. 1. 8. 2. 2. 7. 1.

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The Circle

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  1. The Circle Area of a circle Fractional area of a circle www.mathsrevision.com Exam Type Questions Created by Mr. Lafferty Maths Dept.

  2. Starter Questions 6 5 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  3. If we break the circle into equal sectors And lay them out side by side We get very close to a rectangle. 1 8 2 2 7 1 3 6 5 8 6 4 4 3 7 5 Area of a Circle www.mathsrevision.com Demo Created by Mr Lafferty

  4. If we cut the sectors Thinner and thinner then we get closer and closer to a rectangle. Hence we can represent the area of a circle by a rectangle. 8 6 4 2 3 7 1 5 thinner and thinner sectors Area of a Circle www.mathsrevision.com Created by Mr Lafferty

  5. Area of a Circle www.mathsrevision.com But the area inside this rectangle is also the area of the circle Area = πr2 Created by Mr Lafferty

  6. Area of a circle Solution Q.Find the area of the circle ? 4cm www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  7. Area of a circle Solution • The diameter of the circle is 60cm. • Find area of the circle? www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  8. Circle Now Try TJ N5 Lifeskills Ex 17.1 Ch17 (page 155) www.mathsrevision.com

  9. Starter Questions 4 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  10. Mixed Problems The Circle Learning Intention Success Criteria • Recall knowledge of circles so far. • 1. We are learning to solve problems by applying our knowledge of circles. • 2. Solve mixed problems by applying all our knowledge so far. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  11. Fractional Area Find the area for the semi-circle shape ? Solution A = ½Πr² www.mathsrevision.com A = ½Π(10)² 180o A = 157cm² Created by Mr Lafferty

  12. Fractional Area Q. Find the area of the shape below ? Solution 8cm A = ¼Πr² 90o www.mathsrevision.com A = ¼Π(8)² A = 50.27cm² Created by Mr Lafferty

  13. 5 cm 20cm Mixed Problems The Circle Example 1 : Find the area of the shape Area = rectangle + semicircle www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. Composite Area Example : Find the area of the red part. Area = Big Circle – Small Circle 4cm www.mathsrevision.com 10cm Created by Mr. Lafferty Maths Dept.

  15. Mixed Problems The Circle Example 2 : A circle is contained in a square. Find the grey shaded area below. Area = square - circle 8cm www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. Have you updated your Learning Log ? Circle Now Try TJ N5 Lifeskills Ex 17.2 Ch17 (page 157) www.mathsrevision.com Are you on Target ? I can ?

  17. 3 marks

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