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
