Question

what is the arc length of a circle that has an 8 inch radius and a central angle that is 95° is 3.4 for pie and round your answer to the nearest hundredth

Answer 1

Answer:

Step-by-step explanation:

if  angle \theta is in radians,then

\theta=l/r

where l= arc length

r=radius of circle.

$\theta=\frac{l}{r}\\or\\l=r \theta\\180^\circ=\pi ~radians\\95^\circ=\frac{\pi \times 95}{180}$

$l=8 \times \frac{95 \pi}{180} =\frac{760 \pi}{180}=\frac{76 \pi}{18}=\frac{38 \pi}{9}$

$l\approx\frac{38 \times 3.14}{9}\approx 13.26~in$

if π=3.4

$l=\frac{38 \times 3.4}{9}\approx 14.36~in$