hard find the total area of the red spots
Answers
We can divide the rectangle into two squares of side 10 each.
Each square contains a circle of diameter 40 and radius 5
The area of the spaces left at the corners of the squares is given by %
Area of the square - Area of the circle
Area of the square = 10 × 10 = 100
Area of the circle :
3.142 × 25 = 78.55
Area of the gaps = 100 - 78. 55 = 21.45
Area of each gap is :
21.45 / 4= 5.3625
The shaded regions are as follows :
At the point where the two circles meet below that point the shaded area is twice the area of one gap hence its equal to :
2 × 5.3625 = 10.725
At the corner where the diagonal divides the space the shaded area is equal to half the area of one gap as follows :
5.3625/2 = 2.68125
The total area is thus :
2.68125 + 10.725 + 5.3625 = 18.76875
= 18.76875
Step-by-step explanation:
We can divide the rectangle into two squares of side 10 each.
Each square contains a circle of diameter 40 and radius 5
The area of the spaces left at the corners of the squares is given by %
Area of the square - Area of the circle
Area of the square = 10 × 10 = 100
Area of the circle :
3.142 × 25 = 78.55
Area of the gaps = 100 - 78. 55 = 21.45
Area of each gap is :
21.45 / 4= 5.3625
The shaded regions are as follows :
At the point where the two circles meet below that point the shaded area is twice the area of one gap hence its equal to :
2 × 5.3625 = 10.725
At the corner where the diagonal divides the space the shaded area is equal to half the area of one gap as follows :
5.3625/2 = 2.68125
The total area is thus :
2.68125 + 10.725 + 5.3625 = 18.76875
= 18.76875