SAT考试9月每日精选题22

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Mathematics>Standard Multiple Choice

Read the following sat test question and thenclick on a button to select your answer.

If θ=330°, what is the value of θ in radians?

A.3/2π

B.5/3π

C.7/4π

D.11/6π

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答案：D

解析：

Recall that there are 2π radians in one revolution ofa circle. There are also 360° in one revolution of acircle.

This leads us to the following conversion: 2π radians=360°

If we divide both sides by 360, we have 1°=π/180 radians.

We can use this factor to convert degrees to radians.

The conversion is performed below.

330°=330*1°=330*π/180=11π/6

Alternatively, if we divide both sides of the equation 2π radians=360° by 12, we can concludethat π/6 radians=30°.

Since 330° is 11*30°, its measure in radians must be 11*π/6.

Either way, we have the following: 330°=11π/6.

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