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The figure above shows two concentric circles with center O. If OD = 3, DB = 5, and the length of arc AB is 5π, what is the length of arc CD ?
- a)7/4π
- b)15/8π
- c)3π
- d)25/8π
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The figure above shows two concentric circles with center O. If OD = 3...
First, we should make sure we mark up the diagram with the measurements we know: OD = 3 and DB = 5. This means that the radius of the small circle is 3 and the radius of the large circle is 8. Notice that sectors AOB and COD share a central angle, and therefore are similar. So the measures of arc CD and arc AB are
in a ratio of 3:8.
Cross multiply:
Divide by 8:
Most Upvoted Answer
The figure above shows two concentric circles with center O. If OD = 3...
First, we should make sure we mark up the diagram with the measurements we know: OD = 3 and DB = 5. This means that the radius of the small circle is 3 and the radius of the large circle is 8. Notice that sectors AOB and COD share a central angle, and therefore are similar. So the measures of arc CD and arc AB are
in a ratio of 3:8.
Cross multiply:
Divide by 8:
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The figure above shows two concentric circles with center O. If OD = 3, DB = 5, and the length of arc AB is 5π, what is the length of arc CD ?a)7/4πb)15/8πc)3πd)25/8πCorrect answer is option 'B'. Can you explain this answer?
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