a wire bent in form of square 196sq cm if the same wire is bent to form a circle find the area of circle
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- Question⇒ A steel wire when bent in the form of a square encloses an area of 196 sq . cm . if the same wire is bent into the form of a circle, find the area of the circle. (use pi = 22/7 )
Step-by-step explanation:
- Perimeter of square = perimeter of circle
- A of sq = 196
- a²=196
- a=√196
- a=14
- p of sq = 4a = 4(14) = 56
- Perimeter of square = perimeter of circle
- 56 = 2πr
- r = 98/11
- A of cr = πr²
- =22/7 * 98/11 * 98/11
- =124.72 sq units.
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Answer:
Step-by-step explanation:
area=196
side^2=196
side=14
perimeter=4*14=56
when it is bent down to circle the perimeter is same
circle perimeter=square perimeter=56
2pie r=56
r(radius)=56/2pie we know pie=22/7
r=56/2*22/7
r=56*7/44
r=8.90cm
therefore area=pie*r^2
=22/7*79.21
=249cm^2
approx
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