In the circle above, point A is the center and the length of arc BC is 2/5 of the circumference of the circle. What is the value of x?
Correct answer: C. 144
- A. 140
- B. 142
- C. 144
- D. 148
Explanation
To find the value of x, note that the length of arc BC is 2/5 of the circle's circumference. In a circle, the ratio of an arc's length to the circumference is equal to the ratio of the arc's angle to 360°. Thus, we set up the equation 2/5 = x/360. Solving this, we find x = 144. Other options result from incorrect calculations or setup of the proportion.
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