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–1 vote

From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the paper left to the area of the circles?

- $1:3$
- $4:1$
- $3:1$
- $4:3$

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Area of the circular sheet = $\pi$ * (20)^{2} = 400 $\pi$

Area of 4 smaller circles cut out = 4 * $\pi$ * (5)^{2} = 100 $\pi$

So, area of remaining paper = 300 $\pi$

$\therefore$ Ratio of the paper left to the area of the circles = 300 $\pi$ : 100 $\pi$ = **3 : 1**

**C is the answer.**

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