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Image is a triangle with one side labeled as the 3 point 6 feet diameter of a semi-circle. The vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.
Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.


Sagot :

Answer:

13.7 ft²

Step-by-step explanation:

The figure is made up of two regular shapes.

1. A semi-circle of 3.6 ft

radius = 3.6/2 = 1.8 ft

Area = 1/2 × 3.14 × 1.8²

        = 5.0868 ft²

2. A triangle

Area = 1/2 × base length × height

        = 1/2 × 3.6 × 4.8

        = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                             = 13.7268 ft²

To the nearest tenth = 13.7 ft²