We read your photo as:

Calculate the circumference of circles with given radii and diameters, using pi approximately 22/7.

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

Here are the circumferences for all the circles:

The formula for the circumference of a circle is C=2πrC = 2\pi r (where rr is the radius) or C=πdC = \pi d (where dd is the diameter). We will use π≈227\pi \approx \frac{22}{7}.

  1. Calculate the circumference for circles 1, 2, and 3.

    1. Given radius r=21r = 21 cm. C=2πr=2×227×21 cmC = 2\pi r = 2 \times \frac{22}{7} \times 21 \text{ cm} C=2×22×3 cmC = 2 \times 22 \times 3 \text{ cm} C=132 cmC = \boxed{132 \text{ cm}}
    2. Given diameter d=28d = 28 cm. C=πd=227×28 cmC = \pi d = \frac{22}{7} \times 28 \text{ cm} C=22×4 cmC = 22 \times 4 \text{ cm} C=88 cmC = \boxed{88 \text{ cm}}
    3. Given radius r=7r = 7 cm. C=2πr=2×227×7 cmC = 2\pi r = 2 \times \frac{22}{7} \times 7 \text{ cm} C=2×22 cmC = 2 \times 22 \text{ cm} C=44 cmC = \boxed{44 \text{ cm}}
  2. Calculate the circumference for circles 4, 5, and 6.

    1. Given diameter d=15d = 15 cm. C=πd=227×15 cmC = \pi d = \frac{22}{7} \times 15 \text{ cm} C=3307 cmC = \frac{330}{7} \text{ cm} C=4717 cmC = \boxed{47\frac{1}{7} \text{ cm}}
    2. Given radius r=11r = 11 cm. C=2πr=2×227×11 cmC = 2\pi r = 2 \times \frac{22}{7} \times 11 \text{ cm} C=4847 cmC = \frac{484}{7} \text{ cm} C=6917 cmC = \boxed{69\frac{1}{7} \text{ cm}}
    3. Given diameter d=49d = 49 cm. C=πd=227×49 cmC = \pi d = \frac{22}{7} \times 49 \text{ cm} C=22×7 cmC = 22 \times 7 \text{ cm} C=154 cmC = \boxed{154 \text{ cm}}
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp