2. Mr, Perez built this circular garden. The inner circle has a diameter of 22 feet. The outer circle has a diameter of 44 feet. What is the area of section \( B \) ? Explain your answer.

To find the area of section \( B \), which is the annular region between the inner and outer circles, we first calculate the area of both circles. The area \( A \) of a circle is given by the formula \( A = \pi r^2 \), where \( r \) is the radius. For the inner circle with a diameter of 22 feet, the radius is 11 feet: \[ A_{\text{inner}} = \pi (11)^2 = 121\pi \, \text{square feet} \] For the outer circle with a diameter of 44 feet, the radius is 22 feet: \[ A_{\text{outer}} = \pi (22)^2 = 484\pi \, \text{square feet} \] Now, we find the area of section \( B \) by subtracting the area of the inner circle from the area of the outer circle: \[ A_B = A_{\text{outer}} - A_{\text{inner}} = 484\pi - 121\pi = 363\pi \, \text{square feet} \] So, the area of section \( B \) is \( 363\pi \) square feet, which is approximately 1143.51 square feet when \( \pi \) is approximated as 3.14. Next time you’re planning your garden, just remember—always calculate the area first! Those pies in the sky not only look cool but can help visualize perfect outdoor spaces!