Area of a circle is equal to the area of rectangle with sides 112 metre and 88 m respectively find the circumference of circle
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3
Area of circle = Area of rectangle
=> pi r^2 = 112 × 88
=> 22 × r^2 / 7 = 112 × 88
=> r^2 = 112 × 88 × 7 / 22
=> r^2 = 112 × 4 × 7
=> r^2 = 7 × 7 × 4 × 16
=> r = 7 ×2 × 4
=> r = 56
Radius of circle = 56 m
Circumference = 2 pi r
= 2 × 22 × 56 / 7
= 44 × 8
= 352 m
=> pi r^2 = 112 × 88
=> 22 × r^2 / 7 = 112 × 88
=> r^2 = 112 × 88 × 7 / 22
=> r^2 = 112 × 4 × 7
=> r^2 = 7 × 7 × 4 × 16
=> r = 7 ×2 × 4
=> r = 56
Radius of circle = 56 m
Circumference = 2 pi r
= 2 × 22 × 56 / 7
= 44 × 8
= 352 m
Answered by
3
Area of rectangle = 112 × 88 = 9856 m²
Area of circle, π×r² = 9856
r = √(9856/π) = 56 m
Therefore, circumference, 2πr = 2 × π × 56
= 112 × 22/7 = 352 m
Area of circle, π×r² = 9856
r = √(9856/π) = 56 m
Therefore, circumference, 2πr = 2 × π × 56
= 112 × 22/7 = 352 m
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