jcgwin13
jcgwin13 jcgwin13
  • 01-08-2020
  • Mathematics
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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=

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jimrgrant1 jimrgrant1
  • 01-08-2020

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

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