Respuesta :

nylarivera27

Answer:

96π units²

Step-by-step explanation:

Find the diagram attached

Area of a sector is expressed as;

Area of a sector = θ/2π * πr²

Given

θ = 3π/4

r = 16

Substitute into the formula

area of the sector = (3π/4)/2π * π(16)²

area of the sector = 3π/8π * 256π

area of the sector = 3/8 * 256π

area of the sector = 3 * 32π

area of the sector =96π units²

Step-by-step explanation:

its all there lol

The area of the shaded sector is 96π units².

Area of sector

  • area = 1 / 2 r²∅

where

r = radius

∅ = angle in radian

Therefore,

r = 16

∅ = 3 / 4 π

area of the sector = 1 / 2 × (16)² × 3 / 4 π

area of the sector = 1 / 2 × 256 × 3 / 4 π

area of the sector = 768π / 8

area of the sector = 96π units

learn more on sector here: https://brainly.com/question/20578275

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