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Use pi = 3.14. 1. Calculate the area of the outer circle. 2. Calculate the area of inner circle.

Mathematics

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Answers

2 parts
1

452.16 cm2452.16 \text{ cm}^2

2

113.04 cm2113.04 \text{ cm}^2

Step-by-step solution

6 steps

Here's how to calculate the areas of the outer and inner circles:

First, we are given that π=3.14\pi = 3.14.

Part 1· 3 steps

Calculate the area of the outer circle

  1. Identify the radius of the outer circle.

    From the diagram, the radius of the outer circle is R=12 cmR = 12 \text{ cm}.

  2. Use the formula for the area of a circle.

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

  3. Substitute the values and calculate the area.

    Aouter=πR2A_{outer} = \pi R^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} = \boxed{452.16 \text{ cm}^2}

Part 2

113.04 cm2113.04 \text{ cm}^2

Calculate the area of the inner circle

  1. Determine the radius of the inner circle.

    The diagram shows the outer radius as 12 cm12 \text{ cm}. The inner radius is not explicitly labeled with a numerical value. Based on the visual representation, we will assume the radius of the inner circle (rr) is half the radius of the outer circle.
    So, r=12 cm2=6 cmr = \frac{12 \text{ cm}}{2} = 6 \text{ cm}.

  2. Use the formula for the area of a circle.

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

  3. Substitute the values and calculate the area.

    Ainner=πr2A_{inner} = \pi r^2 Ainner=3.14×(6 cm)2A_{inner} = 3.14 \times (6 \text{ cm})^2 Ainner=3.14×36 cm2A_{inner} = 3.14 \times 36 \text{ cm}^2 Ainner=113.04 cm2A_{inner} = \boxed{113.04 \text{ cm}^2}
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