The measure of angle Z is 60 ^° . What is the measure, in radians, of angle Z ?

The correct answer is B. Choice B is correct. The measure of an angle, in radians, can be found by multiplying its measure, in degrees, by (π)/(180) . It's given that the measure of angle Z is 60 ^° . It follows that the measure, in radians, of angle Z is 60 ( (π)/(180) ) , or 1/3 π .

SAT Question 2d521ca9: Circles answer and explanation with Desmos solution

Explanation

Correct answer: B.

Choice B is correct. The measure of an angle, in radians, can be found by multiplying its measure, in degrees, by $\frac{π}{180}$ . It's given that the measure of angle $Z$ is $6 0^{\circ}$ . It follows that the measure, in radians, of angle $Z$ is $60 (\frac{π}{180})$ , or $\frac{1}{3} π$ .

Desmos solution:

Note: The expression 60 * π / 180 directly computes the radian measure, simplifying to π/3.

Enter in Desmos:

$60 \cdot \frac{π}{180}$

Reviewed and rewritten by CookSAT

Why the other choices are wrong

Choice A

Choice A is incorrect. This is the measure, in radians, of an angle whose measure is $3 0^{\circ}$ , not $6 0^{\circ}$ .

Choice C

Choice C is incorrect. This is the measure, in radians, of an angle whose measure is $12 0^{\circ}$ , not $6 0^{\circ}$ .

Choice D

Choice D is incorrect. This is the measure, in radians, of an angle whose measure is $18 0^{\circ}$ , not $6 0^{\circ}$ .