2. The diameters of two circles are 3.5 cm and 4.2 cm. Find the ratio of the area of the smaller circle to that of the bigger circle.
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Answer:
25:36
Step-by-step explanation:
The ratio will be 25:36.
Given data:
Diameter of the smaller circle = 3.5 cm = 35 mm
Diameter of the bigger circle =4.2cm = 42 mm
So,
Radius of the smaller circle= (35/2) = 17.5 mm
Radius of the bigger circle = (42/2) = 21 mm
Area of the smaller circle = {T (17.5)²) = 962.5
mm²
Area of the bigger circle = { × (21)²) = 1386 mm²
So,
The ratio = 962.5: 1386 = 25:36 (answer)
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