paulina197000
paulina197000 paulina197000
  • 09-06-2021
  • Mathematics
contestada

Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m

:)

Find the length of AB A O 140 8 m B Round your answer to the nearest hundredth ÁB m class=

Respuesta :

adefunkeadewole adefunkeadewole
  • 14-06-2021

Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

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