Question

A small pizza has diameter of 20 cm and a large pizza has a diameter of 30 cm. George had 50% of the small pizza and Rajdeep had 25% of the large pizza. Who ate more pizza? (Assume that both pizzas have same thickness)

• A. the same as that of the medium pizza
• B. less than that of the medium pizza
• C. more than that of the medium pizza
• D. can't be determined

Answer 1

The correct option is B

less than that of the medium pizza

Area of small pizza = $\pi \times {r_1}^2=\pi \times {10}^2=100\pi c{m}^2$
Area of large pizza = $\pi \times {r_2}^2=\pi \times {15}^2=225\pi c{m}^2$

Area of 50% of small pizza = $\frac{50}{100}\times 100\pi =50\pi c{m}^2$
Area of 25% of large pizza = $\frac{20}{100}\times 225\pi =56.25\pi c{m}^2$

Thus Rajdeep ate more pizza than George.