Practice Quiz

IB Mathematics SL Prep

Category - IB Mathematics

Start a Study Session Sign up for Question of the Day
A target consists of three concentric circles with radii of 1 ft, 2 ft, and 3 ft. If the probability of an arrow hitting the target at any point is equal, what is the probability that an arrow will hit the target in the outermost region of the circle?
  1. 1/3
  2. 5?
  3. 55.6%
  4. None of the above.
Explanation
Answer: C - The probability that an arrow will hit a target in the outermost region of the circle is 55.6%.

Solution

Use the area of a circle equation
A = ? r2

1. Find that area of the entire target where r = 3 feet.

A = ?(3)2 = 9?

2. Find the area of the outermost circle (subtract middle area from entire area)

A = 9? -?(2)2 = 5?

3. Probability of hitting the outermost circle is 5?/9? = 5/9, or 55.6%
Previous Next
Was this helpful? Upvote!
Login to contribute your own answer or details
Start a Study Session Sign up for Question of the Day

Top questions

Related questions

Most popular on PracticeQuiz