Difference between revisions of "1966 AHSME Problems/Problem 6"
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| − | + | == Problem == | |
| + | <math>AB</math> is the diameter of a circle centered at <math>O</math>. <math>C</math> is a point on the circle such that angle <math>BOC</math> is <math>60^\circ</math>. If the diameter of the circle is <math>5</math> inches, the length of chord <math>AC</math>, expressed in inches, is: | ||
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| + | <math>\text{(A)} \ 3 \qquad \text{(B)} \ \frac {5\sqrt {2}}{2} \qquad \text{(C)} \frac {5\sqrt3}{2} \ \qquad \text{(D)} \ 3\sqrt3 \qquad \text{(E)} \ \text{none of these}</math> | ||
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| + | == Solution == | ||
| + | <math>\fbox{C}</math> | ||
| + | |||
| + | == See also == | ||
| + | {{AHSME box|year=1966|num-b=5|num-a=7}} | ||
| + | |||
| + | [[Category:Introductory Geometry Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 01:38, 15 September 2014
Problem
is the diameter of a circle centered at 
. 
is a point on the circle such that angle 
is 
. If the diameter of the circle is 
inches, the length of chord 
, expressed in inches, is:
Solution
See also
| 1966 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
