The radius of a circle is 9 ft . Find its area in terms of \( \pi \)

The area \( A \) of a circle can be calculated using the formula \( A = \pi r^2 \), where \( r \) is the radius. In this case, the radius is 9 ft. So, the area becomes \( A = \pi (9^2) = \pi (81) = 81\pi \) square feet. Isn’t it fascinating how simple mathematical formulas can yield a beautiful area that incorporates the elegance of \( \pi \)? Any circle, no matter how big or small, is a canvas of geometry waiting to be explored! Did you know that the concept of pi (π) has been known for over 4,000 years? Ancient civilizations, like the Babylonians and Egyptians, had close approximations of this mysterious number, connecting circles to the cosmos and architecture. The pursuit of its true value continues to inspire mathematicians and enthusiasts alike!