Math, asked by nachiketstpatil499, 1 year ago

A piece of wire is bent in the shape of a rectangle whose length and width are 35cm and 20cm respectively.it is opened and rebent to from a cricular ring. What is the diameter of the ring?

Answers

Answered by balajiniradar
26
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Answered by ChiKesselman
16

The diameter of ring is 35 cm.

Step-by-step explanation:

We are given the following in the question:

Length of rectangle = 35 cm

Width of rectangle = 20 cm

Perimeter of rectangle =

P = 2(l + w)\\P = 2(35 + 20) = 110

where l is he length and w is the width.

Now,

Perimeter of rectangle = Circumference of ring

Circumference of circle = \pi d

where d is the diameter of ring

Equating values, we get,

\pi d = 110\\\\\dfrac{22}{7}\times d =110\\\\d = \dfrac{110\times 7}{22} = 35

The diameter of ring is 35 cm.

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