Which of the following has a larger area? Place an \( X \) on the correct blank. a circle with a diameter of 30 centimeters a square that measures 30 centimeters on a side

To figure out which has a larger area, we can do a bit of number crunching! The area of a square is calculated by squaring the length of one side, so for the square, it’s \(30 \times 30 = 900\) square centimeters. For the circle, we need the radius, which is half the diameter. The radius is \(15\) centimeters, and the area of a circle is given by the formula \(A = \pi r^2\). So that’s \(A = \pi (15^2) \approx 706.86\) square centimeters. While both shapes are great, the square takes the cake with its 900 square centimeters! If you ever want to impress friends with your mathematical prowess, try comparing areas of different shapes! Fun fact: circles may seem straightforward but have a magical relationship with π. Their areas can be tricky to calculate on the fly, so don't forget your calculator when you’re out examining parks or designing your own backyard games!