A wire is in the shape of a triangle of triangle of perimeter 66cm. if the same wire is bent in the shape of a circle. find the radius of the circle.
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Answer:
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Step-by-step explanation:
The Perimeter of triangle-shaped wire = Length of the wire
If the same wire is bent in the shape of a circle,
Then, Circumference of circle = 66 cm
⇒ 2πr = 66
⇒ 2 × 22/7 × r = 66
⇒ r = (66 × 7)/ 2 × 22
⇒ r = 462/44
⇒ r = 10.5 cm
Hence, the radius of the circle. is 10.5 cm
Answered by
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Answer:
The radius of a circle is cm.
Step-by-step explanation:
Given : Perimeter of triangle = cm
The given condition is same wire is bent in the shape of a circle.
To find : The radius of the circle.
Solution :
- It is given that a wire is in the shape of a triangle of triangle.
- Perimeter of triangle = cm
- The given condition is same wire is bent in the shape of a circle.
- Perimeter is the sum of all sides of any shape or for a circle, it is the outer boundary of the circle.
- The equation becomes,
Perimeter of triangle = Perimeter of circle (i)
- We know the formula,
Perimeter of circle =
- Put this value in equation (i), we get
- The value of .
∴
= cm
- ∴ The radius of a circle is cm.
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