Question

Use the arc length formula and the given information to find r. s = 16 cm, θ= 48°; r = ? (1 point)

Answer 1

i converted θ to radians, then put that and the length of the arc into the formula shown.

Answer 2

The value of r is 19.1 cm

Step-by-step explanation:

We know the arc length formulas which is shown below.

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

Here the angle is in radian.

We have been given that

s = 16 cm, θ= 48°

We know that 1 degree = 0.0174533 radian

Hence, 48° = 0.837758 radian

On substituting these values in the formula, we get

`r=(16)/(0.837758) \\\\r=19.1 \text{ cm}`

Therefore, the value of r is r=19.1 cm