Find the area of a circle if the diameter of a circle is 40 cm . (Use \( \pi \) 3.14)
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Beyond the Answer
To find the area of a circle, you can use the formula \( \text{Area} = \pi r^2 \). First, since the diameter is 40 cm, the radius \( r \) is half of that, which is 20 cm. Now, plug the radius into the area formula: \[ \text{Area} = 3.14 \times (20)^2 = 3.14 \times 400 = 1256 \, \text{cm}^2. \] So, the area of the circle is 1256 cm²! Understanding the area of a circle can also be fun in practical scenarios! For example, if you're designing a circular garden with a diameter of 40 cm, knowing the area lets you plan how many plants and what size flower pots to use. A common mistake when calculating the area is forgetting to halve the diameter to find the radius. Always remember to use the radius in the formula \( \text{Area} = \pi r^2 \) to avoid calculation mishaps!