Question

It takes 2π radians (rad) to get around a circle, which is the same as 360°. How many radians are in 1°?

a) π/180 rad
b) 2π/180 rad
c) π/360 rad
d) 2π/360 rad

Answer 1

The number of radians in 1 degree is found using the relation 2π rad = 360°, which simplifies to π/180 rad for 1°. Therefore, the correct answer is (a) π/180 rad.

Step-by-step explanation:

The question is asking how many radians are in 1 degree. Since there are 2π radians in a full circle (360°), to find the radian measure of 1°, we can use a proportion:

2π rad = 360°

To find the radian measure for 1°, we divide both sides of the equation by 360:

2π rad / 360° = 1 rad / x°

Where x = 1°. So, the measure in radians for 1° is:

2π / 360 = π / 180 rad

Therefore, the correct answer is (a) π/180 rad.