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A Playground Has the Shape of Rectangle, with Two Semicircles on Its Smaller Sides as Diameters, Added to Its Outside. If the Sides of Rectangle Are 36m and 24.5m. Find the Area of Playground. - Mathematics

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A playground has the shape of rectangle, with two semicircles on its smaller sides as diameters, added to its outside. If the sides of rectangle are 36m and 24.5m. find the area of playground.

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Let rectangular play area be ABCD

AB = CD = 36m [length]

AD = BC = 24.5 m [breadth]

Radius of the semicircle =`1/2`(ЁЭР╡ЁЭР╢) = ЁЭСЕ

=`1/2`× (24.5) = 12.25ЁЭСРЁЭСЪ

Area of playground = (Area of rectangle) + 2(Area of semicircle)

= (ЁЭР┤ЁЭР╡ × ЁЭР╡ЁЭР╢) +` (1/2pir^2) 2`

= (36 × 24.5) +` (1/2×22/7× 12.25 × 12.25) 2`

= 882 + 471.625

= 1353.625 ЁЭСЪ2

 

 

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рдкрд╛рда 13: Areas Related to Circles - Exercise 13.4

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рдЖрд░рдбреА рд╢рд░реНрдорд╛ Mathematics [English] Class 10
рдкрд╛рда 13 Areas Related to Circles
Exercise 13.4 | Q 2

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