BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Geometry, Probability

Expert replies
by swerve » Mon May 10, 2021 4:56 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

2014-10-28_2033.png
\(ABCD\) is a square inscribed in a circle and arc \(ADC\) has a length of \(\pi\sqrt{x}.\) If a dart is thrown and lands somewhere in the circle, what is the probability that it will not fall within the inscribed square? (Assume that the point in the circle where the dart lands is completely random.)

A. \(2x\)

B. \(\pi(x)-2x\)

C. \(\pi(x)-\sqrt{2}(x)\)

D. \(1-\dfrac{2}{\pi}\)

E. \(1-\dfrac{2}{x}\)

The OA is D

Source: Manhattan Prep
Join the discussion
Source: — Problem Solving |