If the circumference of a circular sheet is 154m , find its radius and also find the area of the sheet.
(take π =22/7)
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Answer :
- Radius of circular sheet 24.5m
- Area of circular sheet is 1886.5m²
Given :
- The circumference of a circular sheet is 154m
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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