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Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Sagot :

abidemiokin

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

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