Question

the singh family ordered a large pizza with a diameter of 24 inches for dinner. if one of the members of the family ate $\frac{1}{8}$ of the pizza, how many square inches of pizza are remaining? use 3.14 for $pi$.
56.52 square inches
226.08 square inches
395.64 square inches
452.16 square inches

Explanation:

Step1: Find radius of pizza

Radius $r = \frac{\text{Diameter}}{2} = \frac{24}{2} = 12$ inches

Step2: Calculate total area of pizza

Area $A = \pi r^2 = 3.14 \times 12^2 = 3.14 \times 144 = 452.16$ square inches

Step3: Find remaining fraction of pizza

Remaining fraction $= 1 - \frac{1}{8} = \frac{7}{8}$

Step4: Calculate remaining area

Remaining area $= 452.16 \times \frac{7}{8} = 56.52 \times 7 = 395.64$ square inches

Answer:

395.64 square inches