A center pivot irrigation system is used to distribute water over a garden surface. The system consists of a sprinkler pipe 210 ft long that pivots around a central point as shown in the diagram below. Due to an obstacle the pipe is allowed to pivot through θ = 280˚ only. Find the area of the garden irrigated by this system. (Give your answer correct to two decimal places.)

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.