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Use 03c0 = 3.14. Calculate the area of the Outer Circle. Calculate the area of the Inner Circle.

Mathematics

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Step-by-step solution

4 steps

  1. Identify the given values for the outer circle.

    The radius of the outer circle is router=12 cmr_{outer} = 12 \text{ cm}.
    The value of π\pi to use is 3.14.

  2. Calculate the area of the outer circle.

    The formula for the area of a circle is A=πr2A = \pi r^2.

    Aouter=πrouter2A_{outer} = \pi r_{outer}^2 Aouter=3.14×(12 cm)2A_{outer} = 3.14 \times (12 \text{ cm})^2 Aouter=3.14×144 cm2A_{outer} = 3.14 \times 144 \text{ cm}^2 Aouter=452.16 cm2A_{outer} = 452.16 \text{ cm}^2

    The area of the outer circle is 452.16 cm2\boxed{452.16 \text{ cm}^2}.

  3. Identify the given values for the inner circle.

    The radius of the inner circle is rinner=7 cmr_{inner} = 7 \text{ cm}.
    The value of π\pi to use is 3.14.

  4. Calculate the area of the inner circle.

    The formula for the area of a circle is A=πr2A = \pi r^2.

    Ainner=πrinner2A_{inner} = \pi r_{inner}^2 Ainner=3.14×(7 cm)2A_{inner} = 3.14 \times (7 \text{ cm})^2 Ainner=3.14×49 cm2A_{inner} = 3.14 \times 49 \text{ cm}^2 Ainner=153.86 cm2A_{inner} = 153.86 \text{ cm}^2

    The area of the inner circle is 153.86 cm2\boxed{153.86 \text{ cm}^2}.

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