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#33740

arc length

circles

geometry

hard

120 sec

Circle A has radius $r_{A}$ and an arc of length $L_{A}$ . Circle B has radius $r_{B}$ and an arc of length $L_{B}$ . If $r_{B} = 2 r_{A}$ and $L_{B} = L_{A}$ , what is the ratio of the central angle subtended by $L_{A}$ in Circle A to the central angle subtended by $L_{B}$ in Circle B?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.