Practicing Success
When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm². If wire is bent into the form of a circle, then what will be the area enclosed by the wire? |
7546 cm² 8542 cm² 7632 cm² 6954 cm² |
7546 cm² |
The length of the wire is the same ⇒ Perimeter of the square = circumference of the circle Area of the square(given) = (side)² = 5929 cm² side = 77 cm Perimeter of the square = 4 x side = 4 x 77 = 308 cm Circumference of the circle = 2$\pi$r = 2 x $\frac{22}{7}$ x r = 77 x 4 r = 49 cm Area enclosed by the wire = $\pi r^2$ = $\frac{22}{7} \times 49 \times 49$ = 7546 cm²
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