The radius of a circle is 20 ft . Find its area in terms of \( \pi \)

To find the area of a circle, you can use the formula \( A = \pi r^2 \). With a radius \( r \) of 20 ft, the calculation becomes \( A = \pi (20)^2 = \pi \times 400 = 400\pi \) square feet. So, the area of the circle is \( 400\pi \, \text{ft}^2 \). Speaking of circles, did you know that the ancient Greeks studied circles extensively? The mathematician Archimedes made remarkable contributions to understanding circular geometry, so much so that he approximated the value of \( \pi \) with incredible precision for his time, laying the groundwork for modern mathematics! In practical terms, circles are everywhere! From wheels and gears in vehicles to the design of sports fields and even in architecture, circles help create stable structures and facilitate smooth movement. So, the next time you enjoy a round pizza or use a round table, remember the importance of circles in our daily lives!