gbhernandez07
gbhernandez07 gbhernandez07
  • 17-03-2020
  • Mathematics
contestada

Find the arc length of AB. Round your answer to the nearest hundredth.

Find the arc length of AB Round your answer to the nearest hundredth class=

Respuesta :

shilpa85475 shilpa85475
  • 23-03-2020

The arc length of AB = 8.37 meters

Solution:

Degree of AB (θ) = 60°

Radius of the circle = 8 m

Let us find the arc length of AB.

Arc length formula:

[tex]$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)[/tex]

                 [tex]$=2 \times 3.14 \times 8 \left(\frac{60^\circ}{360^\circ}\right)[/tex]

                 [tex]$=2 \times 3.14 \times 8 \left(\frac{1}{6}\right)[/tex]

Arc length = 8.37 m

Hence the arc length of AB is 8.37 meters.

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