Question

HELP ASAP PLEASEEEEE C is the center of the circle. Find the length of DGE A. s= 161 over 18 pie B. s= 343 over 35 pie C. s= 343 over 18 pie D. s= 343 over 9 pie

Answer 1

C.
`(343)/(18) pie`

Explanation:

Given a circle of:

Radius (r) = 14

Measure of minor arc = 115°

We are required to find the length of DGE = length of major arc.

Length of arc is given as 2πr(θ/360)

Measure of the major arc DGE (θ) = 360 - 115 = 245°

Length of major arc DGE =
`2*pie*14*(245)/(360)`

`= 28*pie*(49)/(72)`

`= (28*49)/(72) pie`

`= (7*49)/(18) pie`

`= (343)/(18) pie`

Length of arc DGE =

`(343)/(18) pie`