A circle has a radius of 4cm A sector of the circle has a central angle of 3pi/4 radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth.

Respuesta :

Answer:

[tex]18.9 cm^2[/tex]

Step-by-step explanation:

Radius of the Circle = 4cm

Central Angle of the Sector =[tex]\frac{3\pi}{4}[/tex]

Area of a Sector (In Radian)  [tex]=\frac{\theta}{2\pi} X \pi r^2[/tex]

[tex]=\frac{3\pi}{4*2\pi} X \pi *4^2\\=18.85cm^2[/tex]

Area of the Sector =[tex]18.85 cm^2 \approx 18.9cm^2[/tex] (To the nearest tenth)

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