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.
Answers
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 .
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 .
Hence, it's diameter = 2r = 10.5 × 2 .
= 21 cm .