two circles are drawn inside a big circles of diameter 24 cm.
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Step-by-step explanation:
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Answer: 4:5
Step-by-step explanation:
Diameter of big circle (D)= 24cm. Hence, its radius (R)= 12cm.
Area of the big circle = πR² = π×12² = 144π
Diameter of the smaller white unshaded circle (d1) = 1/3×D = 24/3 = 8cm. Hence, its radius (r1) = 4cm.
Area of this circle = πr1² = π×4²= 16π
Diameter of the bigger white unshaded circle (d2) = 2/3×D = 2/3×24 = 16cm. Hence its radius (r2) = 8cm.
Area of this circle = π×r2² = π×8² = 64π
Therefore, Area of the unshaded region = Area of the two white circles = 16π + 64π = 80π
Area of the shaded (blue) region = Area of big circle - Area of unshaded region = 144π - 80π = 64π
Ratio of areas of shaded part to the unshaded part = 64π : 80π = 4:5
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