1.

If the circumference of a circular sheet is 154m , find its radius and also find the area of the sheet.(take π =22/7)Spam = 10 answers report..​

Answer»

ANSWER :

  • Radius of circular sheet 24.5m
  • Area of circular sheet is 1886.5m²

Given :

To FIND :

  • Radius and area of the sheet

Solution :

First we need to find the radius

Given that,

  • Circumference = 154m

As we know that,

  • Circumference = 2πr

⟾ 2πr = 154

⟾ 2 × 22/7 × r = 154

⟾ 2 × 22/7 × r = 154

⟾ r = 154 × 7/2 × 22

⟾ r = 77 × 7/22

⟾ r = 7 × 7/2

⟾ r = 49/2

⟾ r = 24.5 m

Hence ,Radius is 24.5m

Now we have to find the area of the sheet ,

As we know that,

  • Area of sheet = πr²

⟾ 22/7 × (24.5)²

⟾ 22/7 × (49/2)²

⟾ 22/7 × 49/2 × 49/2

⟾ 11/7 × 49 × 49/2

⟾ 11 × 7 × 49/2

⟾ 11 × 343/2

⟾ 3773/2

⟾ 1886.5 m²

Hence , Area of sheet is 1886.5 m²

Therfore ,

  • Radius of circular sheet 24.5m
  • Area of circular sheet is 1886.5 m²


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