Consider the diagram shown. choose all the true statements.

if θ = 2 rad, then r > s.

if θ = 1 rad, then r ≤ s.

if s = 1/2r, then 2θ = 1.

if s/2r=1, then θ = 2

If Θ = 1 rad, then r ≤ s

If s = 1/2r, then 2Θ = 1

If s/(2r)=1, then Θ = 2

Step-by-step explanation:

we know that

The arc length s is equal to

where

r is the radius

is the central angle in radians

Verify each statement

case 1) If Θ = 2 rad, then r > s

The statement is false

Because

For Θ = 2 rad

substitute

so

case 2) If Θ = 1 rad, then r ≤ s

The statement is true

Because

For Θ = 1 rad

substitute

so

---> is true

case 3) If s = 1/2r, then 2Θ = 1

The statement is true

Because

For s=1/2r

substitute

case 4) If s/2r=1, then Θ = 2

The statement is true

Because

For Θ = 2

substitute