Question

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

Answer 1

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 = $\frac{\theta}{360}(\pi )(r)^2$

Area of the sector shaded in blue = $\frac{256}{360}(\pi )(14)^2$

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = $\frac{104}{360}(\pi )(14)^2$

                                                      = 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