Question

Find the area of each sector shown (the shaded section)

Answer 1

Answer:

The area of the sector (shaded section) is 29.51 $m^{2}$.

Step-by-step explanation:

Area of a sector = (θ ÷ 360) $\pi$$r^{2}$

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = $\frac{diameter}{2}$

 = $\frac{26}{2}$ = 13 m

θ = 360 - (180 + 160)

  = 360 - 340

  = $20^{o}$

Thus,

area of the given sector = $\frac{20}{360}$ x $\frac{22}{7}$ x $(13)^{2}$

                                        = $\frac{20}{360}$ x x $\frac{22}{7}$ x 169

                                         = 29.5079

The area of the sector (shaded section) is 29.51 $m^{2}$.