## kmeds16 2 years ago A circle has radius 7 cm. How many degrees is the central angle subtended by an arc of length 5.5 cm?

1. sauravshakya

|dw:1358256330776:dw|HINT:

2. sauravshakya

3. sauravshakya

DOES IT HELP?

4. tanvirms

find the theta in radian and convert it to degrees.

5. kmeds16

6. tanvirms

|dw:1358256816856:dw|

7. kmeds16

okkaaaay.. haha! sorry if i'm slow. :)

8. tanvirms

lol nah...its alright....then what u wanna do is convert theta into degree (cuz this equation will let u find theta in 'radians') to do that...u follow this eq. |dw:1358256989692:dw|

9. kmeds16

ohh lol i thought its pi/180 XD HAHA. thanks! lol

10. tanvirms

its pi/180 when u wanna convert degree into radian :) here we're converting radian into degrees.

11. xxx3m0gurl67xxx

theres a formula for this ( angle/360 degrees ) = ( arclength/ circumference ) so substitute: x /360 = 5.5/14pi 14pi bcuz "Circumference = 2pi(radius)" so 2pi(7)= 14pi x= ((360)(5.5))/14pi x= 1980/14pi or 990/7pi or 45.02 degrees ^.^

12. kmeds16

thanks for the both of you :) haha