give me answer of 7th and 8th fastly
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Step-by-step explanation:
QUESTION 7.
case 1
wire length =440m
moulded into a circle
therefore, circumference of that circle be 440m
circumference of circle = 2πr
440 = 2πr
440/2π = r
220/π = r
Now, area of circle = πr^2
= π × (220/π)^2
= π × (220×220) / π×π
= 220 × 220 / π
= 220 × 220 × 7/22
= 10 × 220 × 7 = 15400 m^2
case 2
since all 4 sides of square are equal
then divide 440m by 4 = 440/4 = 110m
therefore, all 4 sides will have 110 m length
Area of square = a^2 = (110)^2 = 12100m^2
Now, ratio of
area of circle/Area of square = 15400/12100
Area of circle/Area of square = 154/121
Area of circle/Area of square = 14/11 = 14:11
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QUESTION 8.
RADIUS OF CIRCLE = 8cm
Then diameter = 16cm
diagonal of inscribed square = diameter of that circle
Area of square = d^2/2
where d is the diagonal of square
AREA OF SQUARE = (16 × 16)/2
AREA OF SQUARE = 8 × 16 = 128 m^2