## kaylala 11 months ago trigonometry: Identify if the underlined word/s is true or false If false change it to the appropriate one If the arc length is 30π_feet with central angle equal to (3/4)revolution. The radius is equal to 20feet. 20 is the underlined word

1. kaylala

here's a picture of the question: see item # 7

2. ***[ISURU]***

use .. $S = r \ \theta$

3. ***[ISURU]***

where S is the arc length r is the radius theta is the angle measure in radiant

4. ***[ISURU]***

angle of 3/4 revolution = 270 degrees = 3pi /2

5. ***[ISURU]***

and the length of the arc is 30 pi feet

6. ***[ISURU]***

$S = r \ \theta$$30 \pi = r \times (\frac{ 3 \pi }{ 2 })$

7. ***[ISURU]***

now make r the subject and c if the value u get for r is the same as in the question ..

8. ***[ISURU]***

got it :) ?

9. kaylala

okay thanks. so it is true

10. ***[ISURU]***

u r welcome... and yes the statement is true!