Question

question 1 of 44
what is the circumference of the circle shown below? (round your answer to
the nearest tenth.)
image of a circle with center m, points s and o on the circle; segments ms = 7.4, mo = 7.4, so = 12.8

a. 93.0
b. 46.5
c. 76.8
d. 121.2

Explanation:

Step1: Identify the radius

The radius \( r \) of the circle is given as \( 7.4 \) (since \( MS \) and \( MO \) are radii).

Step2: Use the circumference formula

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \). Substitute \( r = 7.4 \) into the formula:
\( C = 2 \times \pi \times 7.4 \)

Step3: Calculate the value

First, calculate \( 2 \times 7.4 = 14.8 \). Then, multiply by \( \pi \): \( 14.8 \times \pi \approx 14.8 \times 3.1416 \approx 46.5 \) (rounded to the nearest tenth).

Answer:

B. 46.5