Question

question 4 of 10
in the diagram below, what is the approximate length of the minor arc \\(\overarc{ab}\\)?
\\(\

$$\begin{array}{l}\\text{a. } 5.2 \\text{ cm}\\\\\\text{b. } 3.1 \\text{ cm}\\\\\\text{c. } 7.9 \\text{ cm}\\\\\\text{d. } 6.3 \\text{ cm}\\end{array}$$

\\)

Explanation:

Step1: Identify arc length formula

Arc length $L = 2\pi r \times \frac{\theta}{360^\circ}$ (θ=central angle, r=radius)

Step2: Plug in values (r=5cm, θ=72°)

$L = 2 \times \pi \times 5 \times \frac{72}{360} = 10\pi \times 0.2 = 2\pi$

Step3: Calculate approximate value

$2\pi \approx 2 \times 3.14 = 6.28 \approx 6.3$ cm

Answer:

D. 6.3 cm