A circular table top is 60 inches in diameter. What is the area of the table top? \( 60 \pi \mathrm{in.}^{2} \) \( 900 \pi \mathrm{in}^{2} \) \( 36 \pi \mathrm{in.}^{2} \)
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To find the area of a circular table top, you can use the formula \( \text{Area} = \pi r^2 \), where \( r \) is the radius. Since the diameter is 60 inches, the radius will be half of that, which is 30 inches. So the area will be \( \pi (30)^2 = 900\pi \mathrm{in}^{2} \). Now, let’s clear that up! When you measure the diameter and realize it splits the circle into two halves, that’s where the radius comes into play. This makes it super enjoyable to think about how circles work in plants and pixies’ magical gardens – imagine a table just for fairytales!