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Circumference and area of circles Pick up your calculator for today’s notes.

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Presentation on theme: "Circumference and area of circles Pick up your calculator for today’s notes."— Presentation transcript:

1 Circumference and area of circles Pick up your calculator for today’s notes

2 Radius Center Diameter Circumference d = 2r or r = d ÷ 2 The parts of a circle

3 Pi (  ) is an irrational number that is often approximated by the rational numbers 3.14 and. 22 7 The circumference of a circle is the distance around the circle. The area of a circle is the number of square units needed to cover the circle.

4 A. Circle with a radius of 4 m C = 2  r = 2  (4) = 8  m B. Circle with a diameter of 3.4 ft C =  d =  (3.4) = 3.4  ft Find the circumference of each circle, both in terms of  and to the nearest hundredth. Use 3.14 for . = 25.12 m = 8 * 3.14 = 10.676 ft = 3.4 * 3.14 = 10.68 ft 4m 3.4 ft

5 A =  (4 2 ) = 50.24 in 2 A. Circle with a radius of 4 in. Find the area of each circle, both in terms of  and to the nearest hundredth. Use 3.14 for . B. Circle with a diameter of 3.4 m  (1.7 2 ) = 2.89  m 2 d2d2 = 1.7 A =  r 2 = 16  in 2 = 16 * 3.14 A =  r 2 = 9.07 m 2 = 9.0746 m 2 = 2.89 * 3.14 4in 3.4 m

6 C =  d = 176 ft = (56) 22 7 22 7 What is the circumference of a circle with a diameter of 56 feet? Use for . 56 1 22 7 =  (56) 8 1 22 1 1 8 = = 56 ft Remember, we are multiplying so we are allowed to cancel before getting our answer

7 d = or r = The parts of a circle

8 Pi (  ) is an number that is often approximated by the rational numbers and The circumference of a circle is The area of a circle is

9 A. Circle with a radius of m C = 2  r = = B. Circle with a diameter of ft C =  d = = Find the circumference of each circle, both in terms of  and to the nearest hundredth. Use 3.14 for . = = = = =

10 A = = A. Circle with a radius of in. Find the area of each circle, both in terms of  and to the nearest hundredth. Use 3.14 for . B. Circle with a diameter of m  = = A =  r 2 = = A =  r 2 = = =

11 C = = = ( ) 22 7 What is the circumference of a circle with a diameter of 56 feet? Use for . = = = ft


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