Math, asked by radharmundhra2016, 4 days ago

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.​

Answers

Answered by prachipriyadarshnisa
0

Answer:

PLZ MARK AS BRAINLIEST!

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 mahakulkarpooja615
0

Answer:

The radius of a circle is 10.50 cm.        

Step-by-step explanation:

Given : Perimeter of triangle = 66 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 = 66 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 = 2\pi r    

  • Put this value in equation (i), we get

          66=2\pi r

  • The value of \pi =3.14.

          ∴ r=\frac{66}{2*3.14}

               = 10.50 cm

  • ∴ The radius of a circle is 10.50 cm.                
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