SAT数学Problem Solving练习题(20)
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>>SAT考试:SAT数学Problem Solving练习题(20)
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Question 20: Two diameters of a circle create an angle AOB of 45o between them. What is the length of arc AB if the radius of the circle is 10/¶?
(a) 5/2
(b) 3/2
(c) 2
(d) 4
(e) 6
Answer: The circumference of the circle is 2·¶·r = 2·¶·10/¶ = 20.
The ratio between the length of arc AB and the circumference of the circle is equal between the ratio between the 45o angle and 360o.
In conclusion, AB = 20 · 45o/360o = 20/8 = 5/2.
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