Question

question 3 of 10
the circumference of ⊙c is 56 cm. what is the length of \\(\overarc{ab}\\) (the minor arc)?
image of a circle with center c, points a and b on the circumference, and a 90° angle at c between ca and cb
a. 5.6 cm
b. 28 cm
c. 90 cm
d. 224 cm
e. 9 cm
f. 14 cm

Explanation:

Step1: Find arc length ratio

Arc length = Circumference × $\frac{\theta}{360^\circ}$, where $\theta=90^\circ$. Ratio: $\frac{90}{360}=\frac{1}{4}$.

Step2: Calculate arc length

Arc length = $56 \times \frac{1}{4} = 14$ cm.

Answer:

F. 14 cm