Vpineda7 Vpineda7
  • 28-05-2020
  • Mathematics
contestada

A sector with a central angle measure of 7pi/4 (in radians) has a radius of 16 cm

Respuesta :

PiaDeveau PiaDeveau
  • 03-06-2020

Answer:

Area of sector = 704 cm ²

Step-by-step explanation:

Given:

Central angle = 7pi/4 (in radians)

Radius = 16 cm

Find:

Area of sector = ?

Computation:

Central angle = [tex]\frac{7}{4}\pi \times \frac{180}{\pi } =315[/tex]

[tex]Area\ of \ sector=\frac{\theta}{360}\pi r^2\\\\Area\ of \ sector=\frac{315}{360}\pi 16^2\\\\Area\ of \ sector=704 cm^2[/tex]

Area of sector = 704 cm ²

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