Scanslove 2/3 that's the one step 2

Mathematics

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Answer

38.5 cm2\text{38.5 cm}^2

Step-by-step solution

2 steps

You're referring to part b) from the previous question.

b) Diameter d=7 cmd = 7 \text{ cm}

  1. Calculate the radius and substitute into the area formula.

    r=7 cm2=3.5 cmr = \frac{7 \text{ cm}}{2} = 3.5 \text{ cm} A=227×(3.5 cm)2=227×12.25 cm2A = \frac{22}{7} \times (3.5 \text{ cm})^2 = \frac{22}{7} \times 12.25 \text{ cm}^2
  2. Simplify the expression to calculate the area.

    To simplify 227×12.25\frac{22}{7} \times 12.25, we can divide 12.25 by 7 first.

    12.25÷7=1.7512.25 \div 7 = 1.75

    Then, multiply the result by 22.

    A=22×1.75 cm2A = 22 \times 1.75 \text{ cm}^2 A=38.5 cm2A = 38.5 \text{ cm}^2

    The area of the circle is 38.5 cm2\text{38.5 cm}^2.

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