Math, asked by Mrinal7693, 1 year ago

A wire is in shape of square with each side 16.5 cm is bent in shape of circle find the circumference and diameter of circle

Answers

Answered by Anonymous
90

 \bf \large \it \: Hey  \: User!!!

ATQ, the wire which was in shape of a squy with each side 16.5cm was bent in the shape of a circle.

therefore perimeter of the square = circumference of the circle.

given the side if the square = 16.5cm

perimeter of the square = side × 4
= 16.5 × 4
= 66cm

therefore the circumference of the circle is also 66cm.
>> 2πr = 66cm
>> 2 × 22/7 × r = 66cm
>> 44/7 × r = 66cm
>> r = 66/1 × 7/44
>> r = 1.5 × 7
>> r = 10.5cm

radius of the circle is 10.5cm.

we know that the diameter of a circle is double the length of it's radius.

hence, it's diameter = 10.5 × 2 = 21cm

 \bf \large \it{Cheers!!!}
Answered by Anonymous
66

Question:

→ A wire is in the shape of a square with each side as 16.5 cm is bent in the shape of a circle. Find the circumference and diameter of the circle.

Answer:

→ 66 cm and 21 cm respectively .

Step-by-step explanation:

Given:-

→ The wire which was in shape of a square with each side 16.5cm was bent in the shape of a circle.

To find :-

→ The circumference and diameter of the circle.


Solution:-

∴ Perimeter of the square = Circumference of the circle.


∵ Perimeter of the square = 4 × side .

= 4 × 16.5 .

= 66cm .


∴ Therefore the circumference of the circle is also 66cm.

⇒ 2πr = 66cm .

⇒ 2 × 22/7 × r = 66cm .

⇒ 44/7 × r = 66cm .

⇒ r = 66/1 × 7/44 .

⇒ r = 1.5 × 7 .

∴ r = 10.5 cm .

→ We know that the diameter of a circle is double the length of it's radius.


Thus, it's diameter = 10.5 × 2 .

= 21 cm .

Hence, it is solved .

THANKS .

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