Question #280ad

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Answer 1 · 2017-04-07T16:22:25

$θ = 4 radians$ $theta = 4" radians"$

Given: $s = 20 radian cm$ $s = 20" radian cm"$ $d = 10 cm$ $d = 10" cm"$

Compute the radius:

$r = \frac{d}{2}$ $r = d/2$

$r = \frac{10 cm}{2}$ $r = (10" cm")/2$

$r = 5 cm$ $r = 5" cm"$

Using the formula:

$s = θ r$ $s = thetar$

$θ = \frac{s}{r}$ $theta = s/r$

$θ = \frac{20 radian cm}{5 cm}$ $theta = (20" radian cm")/(5" cm"$

$θ = 4 radians$ $theta = 4" radians"$