jorgieascott
Answered

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Find the angle of this sector.
6 cm
NEED ASAP
5 cm

Find The Angle Of This Sector 6 Cm NEED ASAP 5 Cm class=

Sagot :

Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

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