Question

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

Answer 1

The arc length is the length of the arc when it is transformed from a semi-circular path to a linear path. it is determined by multiplying the radius and the angle expressed in radians. Therefore, the expressions is s = 16 cm * (48*pi/180) since pi = 180 degrees. Take note to shift the mode to radians first when using this.The answer is 11.89 cm

Answer 2

The value for r is 19.1 cm

Explanation:

We have been given that s = 16 cm, θ = 48° and we have to find the radius r.

We know the relation

`\theta=(s)/(r)\\\\r=(s)/(\theta),\text{ where }\theta \text{ is in radian}`

Hence, first of all convert the angle in radian

θ = 48°= 0.837758 radian

Therefore, we have

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