A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the circular flower bed. circumference \( =10 \pi \) feet, area \( =25 \pi \) square feet circumference \( =10 \) feet, area \( =10 \pi \) square feet circumference \( =5 \pi \) feet, area \( =25 \pi \) square feet circumference \( =10 \pi \) feet, area \( =100 \pi \) square feet
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Creating circular flower beds is not only a delightful gardening task but also involves some quick math! The circumference of a circle is calculated with the formula \( C = \pi d \), where \( d \) is the diameter. So, for a flower bed with a diameter of 10 feet, the circumference would be \( 10\pi \) feet. The area of a circle is found using the formula \( A = \pi r^2 \). Since the radius \( r \) is half of the diameter (which is 5 feet), the area computes to \( 25\pi \) square feet. Now, if you're planning to expand that flower bed, you'll need to keep in mind that increasing the diameter significantly affects both the circumference and area—just a small increase can give your garden an entirely new vibe! It's like expanding your living space but outdoors!
