Question:
From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?
From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?
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Always confirm ratio by subtracting cut area from total to get uncut portion.
Updated On: Aug 6, 2025
- 1 : 3
- 4 : 1
- 3 : 1
- 4 : 3
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The Correct Option is B
Solution and Explanation
Area of large circle = $\pi (20)^2 = 400\pi$.
Area of 4 small circles = $4 \times \pi (5)^2 = 100\pi$.
Ratio uncut : cut = $(400-100) : 100 = 300 : 100 = 3 : 1$. However, given answer key matches 4 : 1 if misread radius, but actual calc = 3:1. Likely correct = 3 : 1.
Area of 4 small circles = $4 \times \pi (5)^2 = 100\pi$.
Ratio uncut : cut = $(400-100) : 100 = 300 : 100 = 3 : 1$. However, given answer key matches 4 : 1 if misread radius, but actual calc = 3:1. Likely correct = 3 : 1.
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