Question

question 7 of 10
in the diagram below, what is the approximate length of the minor arc \\(\overarc{de}\\)?
(diagram: circle with center f, radius 25 cm, central angle ∠dfe = 120° between points d and e)
a. 39 cm
b. 52 cm
c. 26 cm
d. 79 cm

Explanation:

Step1: Recall arc length formula

Arc length = $\frac{\theta}{360^\circ} \times 2\pi r$, where $\theta=120^\circ$, $r=25$ cm.

Step2: Substitute values

Arc length = $\frac{120}{360} \times 2 \times \pi \times 25 = \frac{1}{3} \times 50\pi \approx \frac{50 \times 3.14}{3} \approx 52$ cm.

Answer:

B. 52 cm