Circumference of a Circle

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Presentation transcript:

Circumference of a Circle

C = 2r C  Circumference - The distance around a circle For every circle, the ratio of circumference C to diameter d is the same. This ratio, , is the Greek letter , called pi. C d Radius 22 7 Pi is approximately equal to 3.14 or . To find Circumference knowing diameter Diameter C = d To find Circumference knowing radius C = 2r Circumference C  To find Diameter use

Find the circumference of the circle to the nearest tenth. Use 3 Find the circumference of the circle to the nearest tenth. Use 3.14 for . EX1) C = d You know the diameter. 12 in. C  3.14 (12) Substitute for  and d. C  37.68 Multiply. EX2) C = 2r 11 cm C  2 (3.14)(11) C  69.08

The circumference of a circle is 56.52, what is the diameter. EX3) The circumference of a circle is 56.52, what is the diameter. Substitute C = d 56.52 = 3.14 d Divide 3.14 on both sides of equation 3.14 3.14 18 = d

The circumference of a circle is 50.24, what is the radius. EX4) The circumference of a circle is 50.24, what is the radius. C = 2r 50.24 = 2(3.14)( r ) 3.14 3.14 16 = 2r 2 2 8 = r

If the diameter or radius of a circle is a multiple of 7, use for p. 22 7 The diameter of a circular pond is 42 m. What is its circumference? Use EX5) for . 22 7 C = d You know the diameter. 22 7 22 7 C  · 42 Substitute for  and 42 for d. 22 7 42 1 C  · Write 42 as a fraction. 6 22 7 42 1 · C  Simplify. 1 C  132 Multiply.

notes

Circumference of a Circle Date _______________ Circumference of a Circle

Pi is approximately equal to ____ or . Circumference - For every circle, the ratio of circumference C to diameter d is the same. This ratio, , is the Greek letter , called pi. C d Pi is approximately equal to ____ or . To find Circumference knowing diameter To find Circumference knowing radius To find Diameter use

Find the circumference of the circle to the nearest tenth. Use 3 Find the circumference of the circle to the nearest tenth. Use 3.14 for . EX1) 12 in. EX2) 11 cm

EX3) The circumference of a circle is 56.52, what is the diameter.

EX4) The circumference of a circle is 50.24, what is the radius.

If the diameter or radius of a circle is a multiple of 7, use for p. Helpful Hint 22 7 The diameter of a circular pond is 42 m. What is its circumference? Use EX5) for . 22 7