Answer:
Area of the sector in red = 177.87 cm²
Area of the sector in blue = 437. cm²
Step-by-step explanation:
Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]
Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]
= 437.87 cm²
Central angle formed by sector shaded in red = 360 - 256 = 104°
Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]
= 177.884
≈ 177.88 cm²
Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²
