SOLUTION: An outdoor playing field has the shape of a rectangle with semicircles at each end as in the diagram below. The total perimeter of the field is 700 metres. Express the total area o

Algebra ->  Rectangles -> SOLUTION: An outdoor playing field has the shape of a rectangle with semicircles at each end as in the diagram below. The total perimeter of the field is 700 metres. Express the total area o      Log On


   

Question 1167352: An outdoor playing field has the shape of a rectangle with semicircles at each end as in the diagram below. The total perimeter of the field is 700 metres. Express the total area of the playing field as a function of the radius, r, of one of the semicircles.
Diagram: https://instagram.fyvr3-1.fna.fbcdn.net/v/t51.2885-15/e35/s240x240/121578245_3456788544403934_4511614689463839637_n.jpg?_nc_ht=instagram.fyvr3-1.fna.fbcdn.net&_nc_cat=102&_nc_ohc=FF0vETAoCzcAX8i3PRu&_nc_tp=15&oh=9b7e1fdd316902eeb32c8ae537192fea&oe=5FB251CD&ig_cache_key=MjQyMDY5MzE1NjgxMjQ2NjcwNg%3D%3D.2
Answer by CPhill(1987) About Me  (Show Source):
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An outdoor playing field has the shape of a rectangle with semicircles at each end as in the diagram below. The total perimeter of the field is 700 metres. Express the total area of the playing field as a function of the radius, r, of one of the semicircles.
Diagram: https://instagram.fyvr3-1.fna.fbcdn.net/v/t51.2885-15/e35/s240x240/121578245_3456788544403934_4511614689463839637_n.jpg?_nc_ht=instagram.fyvr3-1.fna.fbcdn.net&_nc_cat=102&_nc_ohc=FF0vETAoCzcAX8i3PRu&_nc_tp=15&oh=9b7e1fdd316902eeb32c8ae537192fea&oe=5FB251CD&ig_cache_key=MjQyMDY5MzE1NjgxMjQ2NjcwNg%3D%3D.2