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Find the area of the circles below. (Take pi = 22/7)

Mathematics

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4 parts
a

154 cm2\text{154 cm}^2

b

616 cm2\text{616 cm}^2

c

3850 cm2\text{3850 cm}^2

d

6.16 m2\text{6.16 m}^2

Step-by-step solution

14 steps

Ili kupata eneo la duara, tunatumia fomula A=πr2A = \pi r^2, ambapo rr ni rediasi na π=227\pi = \frac{22}{7}.

Part a· 3 steps

Rediasi r=7 cmr = 7 \text{ cm}.

  1. Tumia fomula ya eneo la duara.

    A=πr2A = \pi r^2

  2. Badilisha thamani za π\pi na rr.

    A=227×(7 cm)2A = \frac{22}{7} \times (7 \text{ cm})^2 A=227×49 cm2A = \frac{22}{7} \times 49 \text{ cm}^2

  3. Rahisisha hesabu.

    A=22×7 cm2A = 22 \times 7 \text{ cm}^2 A=154 cm2A = 154 \text{ cm}^2

    Eneo la duara ni 154 cm2\boxed{\text{154 cm}^2}.

Part b

616 cm2\text{616 cm}^2

Kipenyo d=28 cmd = 28 \text{ cm}. Kwanza, tafuta rediasi r=d2r = \frac{d}{2}.

  1. Tafuta rediasi.

    r=28 cm2=14 cmr = \frac{28 \text{ cm}}{2} = 14 \text{ cm}

  2. Tumia fomula ya eneo la duara.

    A=πr2A = \pi r^2

  3. Badilisha thamani za π\pi na rr.

    A=227×(14 cm)2A = \frac{22}{7} \times (14 \text{ cm})^2 A=227×196 cm2A = \frac{22}{7} \times 196 \text{ cm}^2

  4. Rahisisha hesabu.

    A=22×28 cm2A = 22 \times 28 \text{ cm}^2 A=616 cm2A = 616 \text{ cm}^2

    Eneo la duara ni 616 cm2\boxed{\text{616 cm}^2}.

Part c

3850 cm2\text{3850 cm}^2

Kipenyo d=70 cmd = 70 \text{ cm}. Kwanza, tafuta rediasi r=d2r = \frac{d}{2}.

  1. Tafuta rediasi.

    r=70 cm2=35 cmr = \frac{70 \text{ cm}}{2} = 35 \text{ cm}

  2. Tumia fomula ya eneo la duara.

    A=πr2A = \pi r^2

  3. Badilisha thamani za π\pi na rr.

    A=227×(35 cm)2A = \frac{22}{7} \times (35 \text{ cm})^2 A=227×1225 cm2A = \frac{22}{7} \times 1225 \text{ cm}^2

  4. Rahisisha hesabu.

    A=22×175 cm2A = 22 \times 175 \text{ cm}^2 A=3850 cm2A = 3850 \text{ cm}^2

    Eneo la duara ni 3850 cm2\boxed{\text{3850 cm}^2}.

Part d

6.16 m2\text{6.16 m}^2

Rediasi r=1.4 mr = 1.4 \text{ m}.

  1. Tumia fomula ya eneo la duara.

    A=πr2A = \pi r^2

  2. Badilisha thamani za π\pi na rr.

    A=227×(1.4 m)2A = \frac{22}{7} \times (1.4 \text{ m})^2 A=227×1.96 m2A = \frac{22}{7} \times 1.96 \text{ m}^2

  3. Rahisisha hesabu.

    A=22×0.28 m2A = 22 \times 0.28 \text{ m}^2 A=6.16 m2A = 6.16 \text{ m}^2

    Eneo la duara ni 6.16 m2\boxed{\text{6.16 m}^2}.

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