The diameter of a circle is 34 meters. What is the circle's area? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth \( \square \) square meters Submit
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The Deep Dive
To find the area of a circle, we use the formula \( A = \pi r^2 \), where \( r \) is the radius. The radius is half of the diameter, so here, \( r = \frac{34}{2} = 17 \) meters. Now, plugging this into the formula: \[ A \approx 3.14 \times 17^2 = 3.14 \times 289 = 904.06 \] So the area of the circle is approximately \( 904.06 \) square meters. For a fun fact, did you know that the concept of pi has been known for thousands of years? Ancient civilizations such as the Egyptians and Babylonians had their own approximations of pi, highlighting humanity's long fascination with circles and geometry. If you ever forget the area formula, don't fret! Just remember the phrase: “Half the Diameter, Square the Radius, Times Pi!” It's a catchy way to keep you on track while solving circle problems. Don't ping pong back and forth in your calculations—stay organized and enjoy the math!
