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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

HELP ASAP PLEASEEEEE C is the center of the circle. Find the length of DGE A. s= 161 over-example-1

1 Answer

5 votes

Answer:

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

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