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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Probability

NDA 2019 · Mathematics · Probability

What is the probability that an interior point in a circle is...

What is the probability that an interior point in a circle is closer to the centre than to the circumference?

Options

  1. A14\frac{1}{4}
  2. B12\frac{1}{2}
  3. C34\frac{3}{4}
  4. DIt cannot be determined

Correct answer

A. 14\frac{1}{4}

Step-by-step solution


If rr is the radius of circle, A=πr2A=\pi r^2 Probability =π(r2)2πr2=πr24×1πr2=14=\frac{\pi\left(\frac{r}{2}\right)^2}{\pi r^2}=\frac{\pi r^2}{4} \times \frac{1}{\pi r^2}=\frac{1}{4}
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