calculate the length of the boundary and the area of the shaded region in the following diagrams all the measurements are in centimeters
I) unshaded part is a semicircle
ii) 4 semi circles on a square
I) unshaded part is a semicircle
ii) 4 semi circles on a square
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Length of boundary is 38 (cm) and area of shaded region is 50.75cm^2
Step-by-step explanation:
1. Length of rectangle (L)= 10(cm)
Breadth of rectangle(B) = Diameter of semicircle(D) =7(cm)
Radius of semicircle = r=d/2=7/2cm
2. Circumference of semicircle =pie r= 22/7*7/2=11
3. Area of semicircle = pie r^2/2= 1/2*22/7*7/2*7/2=19.25
Area of Rectangle = l*b=10*7=70
4. Length of boundary =l+b+l+pc
Length of boundary =10+7+10+11=38
5. Area of shaded region =Area of rectangle - Area of semi circle
Area of shaded region =70-19.25=50.75cm^2