Question The circumference of a circle is \( 11 \pi \) in. Find its diameter, in inches. Answer Attempt 1 out of 2

To find the diameter of a circle when given the circumference, you can use the formula for circumference \( C = \pi d \), where \( d \) is the diameter. Given \( C = 11 \pi \), you can solve for \( d \) by rearranging the formula: \[ d = \frac{C}{\pi} = \frac{11 \pi}{\pi} = 11 \text{ in} \]. So, the diameter of the circle is 11 inches! Additionally, did you know that the relationship between the circumference and diameter has been known since ancient times? The mathematician Archimedes famously approximated π (pi) using inscribed and circumscribed polygons, laying the foundation for understanding this vital ratio between these two dimensions! In the real world, knowing how to calculate the diameter from the circumference helps in various fields such as engineering, construction, and design, where circular shapes are common. Whether you're designing a round table or calculating the radius of a circular garden, this simple math can guide you to practical applications in everyday projects!