The diameter of a circle is 6 cm . Find its area to the nearest tenth
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To find the area of a circle, you can use the formula A = πr², where r is the radius. Since the diameter is 6 cm, the radius (r) is half of that, which is 3 cm. Now, plugging in the values, the area (A) would be A = π(3 cm)² = 9π cm². Approximating π as 3.14, the area is about 28.3 cm² when rounded to the nearest tenth. Fun fact: The first known calculation of the area of a circle dates back to ancient Egypt, around 1650 BC, where they used a formula that approximated the value of π. Isn't it fascinating how this simple geometric shape has sparked mathematical curiosity for centuries? In real-world applications, understanding the area of a circle can be quite valuable! For instance, if you’re tiling a circular fountain, knowing the precise area helps you calculate how many tiles you’ll need. Or, if you’re planting a round flower bed, it ensures your plants have enough space to thrive!
