Answer:
[tex](d)\ \beta = 2\ rad[/tex]
Step-by-step explanation:
Given
[tex]L =2[/tex] -- length of the arc
[tex]r = 1[/tex] --- radius of a unit circle
[tex]\beta =[/tex] the subtended angle
Required
Find [tex]\beta[/tex]
The length of an arc is:
[tex]L = r * \beta[/tex]
This gives:
[tex]2 = 1 * \beta[/tex]
[tex]2 = \beta[/tex]
Make [tex]\bets[/tex][tex]\beta[/tex] the subject
[tex]\beta = 2[/tex]
Hence:
[tex]\beta = 2\ rad[/tex]
