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What is the circumference of each of the following circles? (Take pi = 3.14)

Mathematics

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Answers

3 parts
a

15.386 cm\text{15.386 cm}

b

26.376 cm\text{26.376 cm}

c

62.8 cm\text{62.8 cm}

Step-by-step solution

9 steps

Ili kupata mzingo wa duara, tunatumia formula C=2πrC = 2\pi r, ambapo CC ni mzingo, π\pi ni pi, na rr ni rediasi. Katika swali hili, tunatumia π=3.14\pi = 3.14.

Part a· 3 steps

  1. Tambua rediasi (rr).

    Rediasi ya duara ya kwanza ni r=2.45 cmr = 2.45 \text{ cm}.

  2. Tumia formula ya mzingo.

    C=2πrC = 2\pi r C=2×3.14×2.45 cmC = 2 \times 3.14 \times 2.45 \text{ cm}
  3. Hesabu mzingo.

    C=6.28×2.45 cmC = 6.28 \times 2.45 \text{ cm} C=15.386 cmC = 15.386 \text{ cm}

    Mzingo wa duara a) ni 15.386 cm\boxed{\text{15.386 cm}}.

Part b

26.376 cm\text{26.376 cm}

  1. Tambua rediasi (rr).

    Rediasi ya duara ya pili ni r=4.2 cmr = 4.2 \text{ cm}.

  2. Tumia formula ya mzingo.

    C=2πrC = 2\pi r C=2×3.14×4.2 cmC = 2 \times 3.14 \times 4.2 \text{ cm}
  3. Hesabu mzingo.

    C=6.28×4.2 cmC = 6.28 \times 4.2 \text{ cm} C=26.376 cmC = 26.376 \text{ cm}

    Mzingo wa duara b) ni 26.376 cm\boxed{\text{26.376 cm}}.

Part c

62.8 cm\text{62.8 cm}

  1. Tambua rediasi (rr).

    Rediasi ya duara ya tatu ni r=10 cmr = 10 \text{ cm}.

  2. Tumia formula ya mzingo.

    C=2πrC = 2\pi r C=2×3.14×10 cmC = 2 \times 3.14 \times 10 \text{ cm}
  3. Hesabu mzingo.

    C=6.28×10 cmC = 6.28 \times 10 \text{ cm} C=62.8 cmC = 62.8 \text{ cm}

    Mzingo wa duara c) ni 62.8 cm\boxed{\text{62.8 cm}}.

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