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Calculate the circumference of the wheel. (2mks)

Mathematics

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Answer

132 cm\text{132 cm}

Step-by-step solution

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❌ Incorrect.

Hesabu yako ya 227×21×21=1386 cm\frac{22}{7} \times 21 \times 21 = 1386 \text{ cm} ni sahihi kwa kutoa eneo la duara (area of a circle) lenye radiasi ya 21 cm21 \text{ cm}. Hata hivyo, swali linauliza mzingo wa gurudumu (circumference of the wheel), sio eneo lake.

Fomula ya mzingo wa duara ni C=2πrC = 2\pi r.

  1. Tumia fomula sahihi ya mzingo wa duara.

    Kwa kutumia radiasi r=21 cmr = 21 \text{ cm} (kama inavyoonekana kwenye hesabu yako) na π=227\pi = \frac{22}{7}.

  2. Badilisha maadili kwenye fomula.

    C=2×227×21 cmC = 2 \times \frac{22}{7} \times 21 \text{ cm}

  3. Rahisisha na kokotoa mzingo.

    C=2×22×217 cmC = 2 \times 22 \times \frac{21}{7} \text{ cm} C=2×22×3 cmC = 2 \times 22 \times 3 \text{ cm} C=44×3 cmC = 44 \times 3 \text{ cm} C=132 cmC = 132 \text{ cm}

    Mzingo sahihi wa gurudumu ni:

    132 cm\text{132 cm}
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