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Find the area of the circle with radius 7cm

Mathematics

ScanSolve AI Answer

Answer

154 cm2\text{154 cm}^2

Step-by-step solution

3 steps

The problem asks to find the area of a circle with a radius of 7 cm7 \text{ cm}.

  1. Recall the formula for the area of a circle.

    The area AA of a circle with radius rr is given by the formula:

    A=πr2A = \pi r^2
  2. Substitute the given radius into the formula.

    Given radius r=7 cmr = 7 \text{ cm}. We will use the approximation π≈227\pi \approx \frac{22}{7}.

    A=227×(7 cm)2A = \frac{22}{7} \times (7 \text{ cm})^2
  3. Calculate the area.

    A=227×49 cm2A = \frac{22}{7} \times 49 \text{ cm}^2 A=22×497 cm2A = 22 \times \frac{49}{7} \text{ cm}^2 A=22×7 cm2A = 22 \times 7 \text{ cm}^2 A=154 cm2A = 154 \text{ cm}^2

    The area of the circle is 154 cm2\text{154 cm}^2.

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