Mathematics 10 — Exercise 9.2 · Q11

Full question

A pizza of radius 14 cm is cut into eight equal slices. Find the area of one slice.

Step-by-step solution

1. The complete circle has area πr². Eight equal slices each have one eighth of that area.

2. Substitute the given numbers into the formula.

   $$\frac{\pi \times {14}^2}{8}$$

3. Calculate this operation before combining the remaining terms.

   $${14}^2=196$$

4. Calculate this operation before combining the remaining terms.

   $$\pi \times 196=196\times \pi$$

5. For multiplication of fractions, multiply the numerators together and the denominators together.

   $$\frac{1\times 1}{1\times 8}$$

6. Calculate these two products separately.

   $$\frac{1}{8}$$

7. Calculate this operation before combining the remaining terms.

   $$1\times \frac{1}{8}=\frac{1}{8}$$

8. Calculate this operation before combining the remaining terms.

   $$196\times \pi \times \frac{1}{8}=\frac{49}{2}\times \pi$$

9. For multiplication of fractions, multiply the numerators together and the denominators together.

   $$\frac{49\times 1}{1\times 2}$$

10. Calculate these two products separately.

    $$\frac{49}{2}$$

11. Calculate this operation before combining the remaining terms.

    $$49\times \frac{1}{2}=\frac{49}{2}$$

12. The required result is shown below. Unit: cm²

    $$\frac{49}{2}\times \pi$$

Answer

The final answer is shown below.