Question

if a wire of 440 length is molded in the form of a circle and square turn-by-turn find the ratio of area of the circle to that of a sphere

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Answer 1

Answer:

length of wire=circumference of circle=perimeter of square

Step-by-step explanation:

$440 = 2\pi \: r \\ r = 440 \div 2\pi = 70.06$

similarly,4a=440

a=110

are.circle:ar.sphere=

$\pi \: { r}^{2} =4\pi {r}^{2}$

=1:4

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Answer 2

Step-by-step explanation:

Given:

• Length of a wire= 440

So, this will be considered as the perimeter for a square and circumference for a circle.

So, according to the question.

$circumference \: of \: circle \\ = 2 \times \pi \times r \\ = > 440 = 2 \times \frac{22}{7} \times r \\ = > r = \frac{440 \times 7}{22 \times 2} \\ r = 70m$

Thus, the radius of a circle= 70m

$now \: area \: of \: a \: circle \: \\ \pi \times r {}^{2} \\ \frac{22}{7} \times 70 {}^{2} \\ = > \frac{22}{7} \times 4900 \\ = 15400 \: m {}^{2}$

Now, perimeter of a square=440 m

$each \: side \: of \: square = \frac{perimeter}{4} \\ = > \frac{440}{4} \\ = 110 \: m$

Area of square= side×side

=(110×110) m²

= 12100 m²

.°. Ratio of the area of circle to the area of square

$= > \frac{15400 \: m {}^{2} }{12100m {}^{2} } \\ = \frac{154}{121} \\ = \frac{14}{11}$

Ratio=14:11. Ans.