Circumferential 8399

A circle with a radius r 8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment.

Correct answer:

A =  200 °
B =  160 °
S1 =  111.7011 cm2

Step-by-step explanation:


A+B = 360
A = 5/4·B

A+B = 360
4A-5B = 0

Pivot: Row 1 ↔ Row 2
4A-5B = 0
A+B = 360

Row 2 - 1/4 · Row 1 → Row 2
4A-5B = 0
2.25B = 360


B = 360/2.25 = 160
A = 0+5B/4 = 0+5 · 160/4 = 200

A = 200
B = 160

Our linear equations calculator calculates it.
B=160=160
r=8 cm  S1=360A π r2=360200 3.1416 82=111.7011 cm2



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