Question

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

Answer 1

here's a picture of the question:


see item # 7

Answer 2

use ..
\[S = r \ \theta\]

Answer 3

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

Answer 4

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

Answer 5

and the length of the arc is 30 pi feet

Answer 6

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

Answer 7

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

Answer 8

got it :) ?

Answer 9

okay thanks.

so it is true

Answer 10

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