Your required answer:We know that,
- Area of rectangle = Length × Breadth
- Area of circle = πr²
- Circumference of circle = πr²
Given,
Here,Area of circle = Area of rectangle
Length of rectangle = 112 m
Breadth of rectangle = 88 m
So,Area of rectangle = Length × Breadth
= 112 × 88 m
= 9856 m
(As given in the question,area of circle is equal to area of rectangle so, Area of circle = 9856 m)
[tex]\sf{Area \: of \: circle = {\pi}{r}^{2} }[/tex]
[tex]\sf{9856 \: m \: = {\pi}{r}^{2} }[/tex]
[tex]\sf{9856 \: m \: = \frac{22}{7} \times {r}^{2} }[/tex]
[tex]\sf{ {r}^{2} = \frac{9856 \times 7}{22} }[/tex]
[tex]\sf{ {r}^{2} = 3136}[/tex]
[tex]\sf{r \: = \sqrt{3136} }[/tex]
[tex]\sf{r \: = 56}[/tex]
Here,radius = 56 m
[tex]\sf{ \: Circumference \: of \: circle \: = 2 \times \pi \times r \: }[/tex]
[tex] \sf{Circumference \: of \: circle \: = 2 \times\frac{22}{7}\times 56}[/tex]
[tex] \sf{Circumference \: of \: circle \: = 2 \times 22 \times 8}[/tex]
[tex] \sf{Circumference \: of \: circle \: = 44 \times 8}[/tex]
[tex] \sf{Circumference \: of \: circle \: = 352 \: m}[/tex]
Thus,The circumference of circle is 352 m.
Hope this will help u dude :))
Be brainly!!