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

Question

show work please and explain it please so i can understand

Answer 1

Hi Sasha,

 

If the arc angle is 360^o, we can visualize easily that the arc length will be the whole circle that is the perimeter of the circle which 2∏r.

 

Now we need to find out the r when we know the arc angle = 48^o and arc length as 16 cm.

 

through simple ratio and proportion equation we can write,

 

360 / 48 = 2∏r / 16   ( This says for 360^o, arc length is 2∏r and for 48^o , the arc length is 16 )

 

7.5 * 16 = 2∏r

 

r = 19.09 cm