a circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio 6:5. Which encloses more area , circle or rectangle ?
Answers
Answered by
1
Answer: Circle
Step-by-step explanation:
Radius of circle- 42cm
Circumference= 2πr= 2π×42= 84πcm
Area of circle- π×(42×42)= 1764πsqcm
Length: breadth of rectangle= 6:5
Let length= 6k and breadth= 5k where k is not eaual to 0.
2(6k+5k)= 84π
22k= 84π
k=42π/11
Length of rectangle= 252π/11
Breadth= 210π/11
Area of rectangle= 52920π^2/110
= 481.09 π^2
=1511.3π sqcm
Hence area of circle is bigger
Similar questions