Mathematics 10 — Exercise 9.2 · Q10 (ii), arc

Full question

Radius 3 cm, θ=pi/4 radians. Find arc length.

Step-by-step solution

1. Use l=rθ.

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

   $$\frac{1\times 1}{1\times 4}$$

3. Calculate these two products separately.

   $$\frac{1}{4}$$

4. Calculate this operation before combining the remaining terms.

   $$1\times \frac{1}{4}=\frac{1}{4}$$

5. Substitute the given numbers into the formula.

   $$3\times \frac{1}{4}\times \pi$$

6. Calculate this operation before combining the remaining terms.

   $$3\times \frac{1}{4}\times \pi =\frac{3}{4}\times \pi$$

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

   $$\frac{3\times 1}{1\times 4}$$

8. Calculate these two products separately.

   $$\frac{3}{4}$$

9. Calculate this operation before combining the remaining terms.

   $$3\times \frac{1}{4}=\frac{3}{4}$$

10. The required result is shown below. Unit: cm

    $$\frac{3}{4}\times \pi$$

Answer

The final answer is shown below.