The length of arcXY is 48cm. What is the circumference of circle Z?
![The length of arcXY is 48cm What is the circumference of circle Z class=](https://us-static.z-dn.net/files/db5/c5eb54c021bc357b9cdb8825f8ec1eb7.png)
Answer:
C
Step-by-step explanation:
In any circle the following ratios are always equal.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{centralangle}{360}[/tex] , thus
[tex]\frac{48}{circum}[/tex] = [tex]\frac{60}{360}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )
circumference = 6 × 48 = 288 cm → C