RT 5 - Mathematical Knowledge What is a circle's diameter if its area is \( 25 \pi \) square inches? A 5 inches B 10 inches C 25 inches D 50 inches Click the button or type the letter to the left of your an

To find the diameter of a circle when its area is \( 25 \pi \) square inches, you can use the formula for the area of a circle: \( A = \pi r^2 \). Given that area \( A = 25 \pi \), you can set \( \pi r^2 = 25 \pi \). Dividing both sides by \( \pi \) gives \( r^2 = 25 \), which means \( r = 5 \) inches. The diameter, being twice the radius, is \( 2r = 10 \) inches. So the answer is B) 10 inches! If you ever find yourself puzzled by geometric formulas, remember that circles are all about relationships! The radius and diameter work hand in hand like best friends—you can easily switch between them with the simple formula \( d = 2r \). Just a little practice with these fundamentals will make circles feel like a walk in the park! Circles have fascinated mathematicians for centuries! Did you know that the ancient Greeks were mesmerized by circles? They delved into the mysteries of pi, exploring its infinite nature and how it relates to the circle's diameter. The elegance of these shapes has inspired everything from art to architecture throughout history!