Shaded area is 40 pi cm squared. Find r

r = 10 cm

Step-by-step explanation:

The formula for determining the area of a sector is expressed as

expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 144°

Area of sector = 40π

Therefore,

40π = 144/360 × π × r²

40π × 360 = 144 × π × r²

14400π = 144πr²

Dividing through by π, it becomes

1440 = 144r²

r² = 14400/144

r² = 100

r = √100

r = 10 cm

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