Exemplo 9.46 de Prealgebra, 9.5 Solve Geometry Applications: Circles and Irregular Figures

Solve Geometry Applications: Circles and Irregular Figures: exemplo 9.46

Problema e solução em inglês, como no livro original.

A high school track is shaped like a rectangle with a semi-circle (half a circle) on each end. The rectangle has length $105$ meters and width $68$ meters. Find the area enclosed by the track. Round your answer to the nearest hundredth.

A track is shown, shaped like a rectangle with a semi-circle attached to each side.

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Solução
We will break the figure into a rectangle and two semi-circles. The area of the figure will be the sum of the areas of the rectangle and the semicircles.

The rectangle has a length of $105$ m and a width of $68$ m. The semi-circles have a diameter of $68$ m, so each has a radius of $34$ m.

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Find the area:

A shape is shown. It is a blue rectangle with a portion of the rectangle missing. There is a red circle the same height as the rectangle attached to the missing side of the rectangle. The top of the rectangle is labeled 15, the height is labeled 9.

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