Digital PSAT Math Practice Question 145: Answer and Explanation

Question: 145

What would be the measure, in radians, of an arc on a circle if the measure of the arc in degrees was 270?

• A.
• B.
• C. 270π
• D.

Correct Answer: B

Explanation:

(B) To convert degrees to radians, simply multiply the number of degrees by :

Choice (B) is the answer.

Alternatively, you could have realized that 270 degrees is of a circle. A circle is 2π radians, so 270 degrees corresponds to:

Note: Radians may or may not be a topic tested on the PSAT. It is definitely something that could be on the SAT. So this problem was included here to prepare you.