Q95

Using 𝜋=22/7 we can calculate the shaded area more accurately.

Step 1: Calculate the area of the rectangle

• Width of the rectangle: 56 meters
• Height of the rectangle: 42 meters Area of the rectangle=56×42=2352 m2. Area of the rectangle=56×42=2352m2

Step 2: Determine the radius of the circles

• Diameter of each circle: Diameter=56/4=14 meters. Thus, the radius 𝑟 of each circle is: 𝑟=14/2=7 meters

Step 3: Calculate the area of one circle

Area of one circle=𝜋𝑟2=22/7×7×7=22/7×49=154 m2

Step 4: Calculate the combined area of all circles

Since there are 12 circles: Total area of 12 circles=12×154=1848 m2

Step 5: Calculate the shaded area

Shaded area=Area of rectangle−Total area of circles

Shaded area=2352−1848=504 m2

Thus, the shaded area between the circles is 504m2​.