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In the diagram below of circle O, the area of the shaded sector AOC is 12pi in^2 and the length of OA I'd 6 inches. Determine and state m

In the diagram below of circle O the area of the shaded sector AOC is 12pi in2 and the length of OA Id 6 inches Determine and state m class=

Respuesta :

Area of a circle for (360degrees) = pi*(r^2) 
Area of part of a circle with angle θ=(θ/360)*(pi*)*(r^2)
(θ/360)*pi*(6^2)=12*pi
solving, θ=(12/36)*360
θ=120 degress

Lanuel

Based on the calculations, the measure of angle m<AOC is equal to 120°.

Given the following data:

Area of the shaded sector AOC = 12π in².

Length of OA = 6 inches.

How to determine angle m<AOC?

In Mathematics, the general equation for the area of a circle (360degrees) is given by πr².

Mathematically, the length of a sector formed by part of a circle with angle (θ) is given by:

Sector = πr² × θ/360

12π = π × (6)² × θ/360

12 = 36θ/360

36θ = 720

θ = 4320/36

θ = 120°

Read more on circle here: brainly.com/question/14478195

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