a bed of roses is like as shown in the figure in the centre is a square and non each side there is semi circle side of the square is 21 m if each rose plant needs 6 m square of space find out the number of plants which can be planted in the whole figure
Answers
Area of square = side*side
= 21*21
= 441m^2
Area of semi circle = 1/2*pi*r^2
= 1/2*22/7*21/2*21/2
98.25m^2
Area of four semicircles = 4*98.25
= 393m^2
Area of given figure= 393*441
= 173313m^2
Each rose plant needs an area of 6m^2 (given)
Number of rose plants= 173313/6
=28885.5
Answer:
189 plants
Step-by-step explanation:
Area of square= side = 21 ×21= 441m²
Now, Since there are four semi circles with the same diameter therefore there will be two complete circles with diameter of 21 metre each.
Radius of one circle=21/2 =10.5m
Area of one circle = πr² = 22/7 ×10.5×10.5=346.5
Area of second circle will be equal to area of first circle since both of them have the same diameter .So,area of second circle=346.5
Area of both the circles or all four semicircles=346.5×2=693m²
Total area= area of square+area of all four semicircles
= 441+693=1134m²
since 6m² is required for 1 plant
therefore 1134m² is required for= 1134×1/6
= 1134/6=189 plants
That's ur answer.