Question

question 10 of 10
the length of \\(\overarc{de}\\) (the minor arc) is 22 cm. what is the circumference of \\(\odot f\\)?
image of a circle with center f, points d and e on the circumference, and a 15° angle at f between fd and fe
a. 1036.2 cm
b. 138.16 cm
c. 660 cm
d. 330 cm
e. 528 cm
f. 220 cm

Explanation:

Step1: Recall arc length formula

Arc length = $\frac{\theta}{360^\circ} \times$ Circumference, where $\theta=15^\circ$

Step2: Substitute known values

$22 = \frac{15}{360} \times C$

Step3: Solve for circumference $C$

$C = 22 \times \frac{360}{15} = 22 \times 24 = 528$

Answer:

E. 528 cm