Use the arc length formula and the given information to find r.. s = 16 cm, θ = 48°; r = ?
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 (48pi/180) since pi = 180 degrees. Take note to shift the mode to radians first when using this.The answer is 11.89 cm
Answer:
The value for r is 19.1 cm
Step-by-step explanation:
We have been given that s = 16 cm, θ = 48° and we have to find the radius r.
We know the relation
\(\theta=\frac{s}{r}\\\\r=\frac{s}{\theta},\text{ where }\theta \text{ is in radian}\)
Hence, first of all convert the angle in radian
θ = 48°= 0.837758 radian
Therefore, we have
\(r=\frac{16}{0.837758}\\\\r=19.1\text{ cm}\)