### Probability of a Dart Hitting a Specific Region**Problem Statement:**A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the dartboard is 9 inches, and each side of the shaded region is 5 inches. **Instructions:**Use the value 3.14 for π (pi). Round your answer to the nearest hundredth.**Diagram Explanation:**- The diagram depicts a circular dartboard with a radius of 9 inches.- Inside this dartboard, there is a shaded square region with each side measuring 5 inches.**Steps to Solve:**1. Calculate the area of the circular dartboard.2. Calculate the area of the shaded square.3. Determine the probability by dividing the area of the square by the area of the circle.**Calculation Steps:**1. **Area of the Circle:** \[ \text{Area} = \pi \times \text{radius}^2 = 3.14 \times 9^2 = 3.14 \times 81 = 254.34 \, \text{square inches} \]2. **Area of the Square:** \[ \text{Area} = \text{side}^2 = 5 \times 5 = 25 \, \text{square inches} \]3. **Probability:** \[ \text{Probability} = \frac{\text{Area of the Square}}{\text{Area of the Circle}} = \frac{25}{254.34} \approx 0.0983 \]**Final Answer:**The probability that the dart lands in the shaded square region is approximately **0.10** (rounded to the nearest hundredth).![Diagram](# diagram showing a circle with a radius of 9 inches and a shaded square with side lengths of 5 inches)**Interactive Elements:**- Users can input their calculated probability in the provided field.- Options to check or reset the answer are available.**Visual Aid:**- A circle with a radius labeled as "9 in".- A shaded square inside the circle with sides labeled as "5 in".This exercise helps in understanding basic probability concepts and involves calculations of areas for simple geometric shapes.

Answered: Image /qna-images/answer/ec3fd7e9-dbe6-4126-9da8-065bf88ba8c6.jpg

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the dartboard is 9 in, and each side of the shaded region is 5 in. Use the value 3.14 for T. Round your answer to the nearest hundredth. 9 in 0 3 ? 5 in

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded square region. The radius of the dartboard is 9 in, and each side of the shaded region is 5 in. Use the value 3.14 for T. Round your answer to the nearest hundredth. 9 in 0 3 ? 5 in

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

Find the margin of error for the given values of c, s, and n. c = 0.80, s = 4, n = 7
A Calculator Alice purchased paint in a bucket with a radius of 3.5 inches and a height of 8 inches The paint cost $0.05 per cubic inch. What was the total cost of the paint? Use 3.14 for pi. Round only your final answer to the nearest penny. Enter your answer in the box.
Find x. Do not round your answer. 12 cm 6 cm 5 cm X =[?] cm Enter DELL
Need help with unit square. Probability.
Jordan flipped a coin 500 times. Which of the following would be a good estimate of the number of times the coin landed on heads? A. 245 B. 175 C. 450 D. 350
Determine the shaded area. The shaded area is 199.94 in. (Type a whole number.) in 2 HER 20 in. wwwwwww ********* 20 in.
The length of a rectangle is three inches more than the width. The area of the rectangle is 130 inches. Find the width of the rectangle. O A. 10 in O B. 5 in OC. 7 in O D. 13 in Click to select your answer. Type here to search ip