anthoking2673 anthoking2673
  • 05-06-2020
  • Mathematics
contestada

6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.

Respuesta :

Teebhabzie Teebhabzie
  • 10-06-2020

Answer:

[tex]45.4 cm^2[/tex]

Step-by-step explanation:

The area of the sector of a circle is given as:

[tex]\frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of the sector

r = radius

The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:

A = [tex]160/360 * \pi * 5.7^2[/tex]

A = [tex]45.4 cm^2[/tex]

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