2 years ago

A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector

Mathematics

1 answer:

babunello [35]2 years ago

8 0

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

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