Question

Use the arc length formula and the given information to find _.
s = 7 m, r = 12 m; _ = ?

Answer 1

`\theta=(7)/(12)`radians

Explanation:

We are given that

`S=7m,r=12m`

We have to find the value of theta using given information.

We know that arc length formula

`S=r\theta`

Where S=Length of arc

`\theta`=central angle

r=Radius of circle

`\theta=(S)/(r)`

Substitute the values then we get

`\theta=(7)/(12)` radian

Hence,
`\theta=(7)/(12)`radians

Answer 2

Assuming we are being asked the subtended angle of the arc,
S = r∅; where ∅ is the angle.
7 = 12∅
∅ = 7/12 radians