A circular pond has a radius of 15cm calculate the area of the pond

Mathematics

ScanSolve AI Answer

Answer

225π cm2225\pi \text{ cm}^2

Step-by-step solution

3 steps

Let's calculate the area of the circular pond.

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

    The area (AA) of a circle is given by the formula:

    A=πr2A = \pi r^2

    where rr is the radius of the circle.

  2. Substitute the given radius into the formula.

    The radius of the pond is r=15 cmr = 15 \text{ cm}.

    A=π(15 cm)2A = \pi (15 \text{ cm})^2
  3. Calculate the square of the radius and multiply by π\pi.

    A=π(15×15) cm2A = \pi (15 \times 15) \text{ cm}^2 A=π(225) cm2A = \pi (225) \text{ cm}^2 A=225π cm2A = 225\pi \text{ cm}^2

    The area of the pond is 225π cm2225\pi \text{ cm}^2.

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