Question

25 rings, each of radius 4/3cm are placed inside a square of side 12 cm. find the unoccupied area left in the square.

Answer 1

Step-by-step explanation:

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Answer 2

Given: Number of rings placed inside a square = 25

           Radius of each ring = $\frac{4}{3}cm$

           Side of square = 12cm

To find: Unoccupied area left in the square

Solution: According to the given question,

25 rings, each of radius $\frac{4}{3}cm$ are placed inside a square of side 12cm.

∵ Unoccupied area left in the square = Area of square - Area occupied by rings

∵ Area of square = side × side

                            = 12 × 12 = $144cm^{2}$

Total area occupied by rings inside the square = Area of 25 rings

∵ Area of circle = π$r^{2}$, where π = $\frac{22}{7} \ or \ 3.14$

Area of 1 ring = 3.14 × $\frac{4}{3}$ × $\frac{4}{3}$ = $5.58cm^{2}$ (approx.)

Area of 25 rings = 25 × 5.58 = 139.5$cm^{2}$

∵ Area unoccupied = 144 - 139.5 = 4.5 $cm^{2}$

Hence, the unoccupied area left in the square is 4.5 $cm^{2}$ (approx.).