Question

1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? show you work.

Answer 1

The total area of the composite figure is; 142.12m²

How to find the area of a Composite Figure?

For the rectangle, we are given;

length = 14m

width = 6m

Thus;

Area of rectangle = length x breadth

Area = 14 x 6

Area = 84m²

Now, For the sector of the circle, we are given;

θ = 34°

radius; r = 14m

Thus;

Area of the sector = (θ/360) * π * r²

Area of sector = 34/360 * π * 14²

Area = 58.12 m²

Total area of composite figure = 84 + 58.12 = 142.12m²

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