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

Find the angle of this sector. 6 cm NEED ASAP 5 cm-example-1
User BlueSolrac
by
7.8k points

1 Answer

9 votes

Answer:

x ≈ 68.8°

Explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr ×
(x)/(360) = 2π × 5 ×
(x)/(360) = 10π ×
(x)/(360) ( multiply both sides by 360 )

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

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

User Mcmaloney
by
8.6k points

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