Question

A wire in the shape of a rectangle of dimensions 14.2 cm × 10 cm is opened up to form a square and a circle turn-by-turn find the side of the square and radius of the circle​​

Answer 1

so the circumference of both square and circle made by the wire would be same

so the perimeter of rectangle........
$2(l+b) = p$

$2×(14.2+10) = p$

$48.4 cm$

【i】 so of both square and circle the value would be same

$48.4 = \: 4× side$

$side = \frac{48.4}{4} cm$

$side = 14.1 cm$

so the side of square would be 14.1 cm

【ii】 now the circumference of the circle would be same as perimeter of rectangle

$48.4 = 2 × \frac{22}{7} × r$

$r = \frac{48.4×7}{22×2}$

$r = \frac{338.8}{44}$

$r = 7.7$

so the radius is 7.7 cm