Question

From a square cardboard of area 196cm square a Circle with biggest area is cut out of find the remaining cardboard

Answer 1

ANSWER ➖ 42 cm²

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Area of square = 196 cm²

(side)² = 196

(side)² = (14)²

side = 14 cm

Biggest radius in the square (r) = ½(side of square)

Biggest radius in the square (r) = ½ × 14

Biggest radius in the square (r) = 7 cm

$Area \: of \: biggest \: circle = \pi \: {r}^{2} \\ Area \: of \: biggest \: circle = \frac{22}{7} \times {7}^{2} \\ Area \: of \: biggest \: circle = \frac{22}{7} \times 7 \times 7 \\ Area \: of \: biggest \: circle =22 \times 7 \\ Area \: of \: biggest \: circle = \: 154 \: {cm}^{2}$

Remaining cardboard = area of square - area of biggest circle.

Remaining cardboard = 196 - 154

Remaining cardboard = 42 cm²

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