A square has each side 10cm. If a largest circle is cut down from it than find the ratio of area of circle and square
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Here is the solution:
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Find the ratio of the square:
Area = Length x Length
Area = 10 x 10 = 100 cm²
Find the largest possible radius:
The largest possible circle will be one with a diameter 10 cm
Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radiu = 5 cm
Find the area of the circle:
Area = πr²
Area = π(5)²
Area = 550/7 cm²
Find the ratio of the circle to square :
Circle : Square = 550/7 : 100
Multiply by 7:
Circle : Square = 550 : 700
Simplify by dividing by 50:
Circle : Square = 11 : 14
Answer: The ratio is 11 : 14
draw a circle in a square so that u can understand. Circle should touch all sides of square.
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