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Help me please thanks :))
1 answer:
The measure of n of the sector with the given area is: 100°
<h3>What is the Area of a Sector?</h3>
The area of a sector of a circle = ∅/360 × πr².
We are given that:
Area of the sector = 40π
Radius (r) = 12 units
∅ = n°
Plug in the values and solve for n
40π = n/360 × π(12²)
40π = n/360 × π144
Divide both sides by 144π
40π/144π = n/360 × 144π/144π
40/144 = n/360
40(360) = n(144)
14,400/144 = n
n = 100°
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