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A central anglej of two concentric circl...

A central anglej of two concentric circles is `(3pi)/(14)`. The area of the large sector. What is the ratio of the lengths of the radii of the two circles?

A

0.25:1

B

0.50:1

C

0.67:1

D

0.71:1

Text Solution

Verified by Experts

The correct Answer is:
D
The measure `(3pi)/(14)` of the central angle is superfluous. Areas of similar figures are proportional to the squares of linear measures associated with those figure. Since the ratio of the areas is 1:2 , the ratio of the radii is `1:sqrt2`, or approximately 0.71:1. [7]
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