If a wire of 440 m length is moulded in the form of a circle and a square turn-by-turn,
find the ratio of the area of the circle to that of square.
m, find its area and radius.
Answers
Step-by-step explanation:
circle
perimeter= length of the wire
= 2× π× r = 2×22/7×r= 440m
r= 440×7/(2×22)=70m
area circle = π ×r×r
= (22/7) × 70×70= 22×70×10= 15400sq cm
square
perimeter= 4×s
440= 4×s
s= 220
area of square= s×s= 220×220
the ratio of the area of the circle to that of square
= (22/7) × 70×70 : 220×220
= 7: 22
radius = 70 cm
radius = 70 cmarea of circle= 15400 sq cm
radius = 70 cmarea of circle= 15400 sq cmratio of the area of the circle to that of square = 7:22
Answer:
ratio = 14 : 11
radius = 70m ; area = 15400 m²
Step-by-step explanation: Total length would not change.
When formed a circle:
total length = circumference(circle)
⇒ 440 = 2πr [r = radius]
⇒ 440 = 2(22/7)r
⇒ 70 = r
Area of circle = πr² = (22/7)*(70)²
= 15400 m²
When formed a square:
total length = perimeter(square)
⇒ 440 = 4*a [a=side]
⇒ 110 = s
Area of square = a² = (110)²
= 12100 m²
∴ Ratio(area) = 15400/12100
= 154/121
= 14/11