Maths, Trigonometry

Question

If we have a unit circle, then one unit measured along the circumference subtends an angle of 1 radian. Determine whether the following statements are True or False

1. 2 units along the circumference of a circle with radius 2 units subtend an angle of 2 radians
2. 2 units along the circumference of a circle with radius 2 units subtend an angle of 1 radian

Answer 1

1 False

2 True

units along the circumference = radius times radians

for 1, 2 does not equal 2x2

for 2, 2 does equal 2 x 1