Question

question 5 of 10
the circumference of ⊙f is 120 cm. what is the length of \\(\overarc{de}\\) (the minor arc)?
image of circle with center f, points d and e on the circumference, angle ∠dfe is 45°
a. 7.5 cm
b. 60 cm
c. 480 cm
d. 30 cm
e. 12.5 cm
f. 15 cm

Explanation:

Step1: Identify arc angle

Central angle for arc $\widehat{DE}$ is $45^\circ$.

Step2: Calculate arc length

Arc length = Circumference × $\frac{\text{angle}}{360^\circ}$ = $120 \times \frac{45}{360}$ = $15$ cm.

Answer:

F. 15 cm