Question

Which of the following are examples of algorithms? (Select all that apply, if any do.)

a. The mathematical formula for finding the area of a circle.
b. A list of your favorite animals.
c. A problem statement.
d. Instructions for setting up a new DVD player.
e. A series of steps that moves a "lighting bot" around to turns on lights.

Answer 1

Examples of algorithms include the formula for finding the area of a circle, instructions for setting up a DVD player, and a series of steps for a bot to turn on lights. Lists of favorite animals or problem statements are not algorithms.

Step-by-step explanation:

An algorithm is a problem-solving formula that provides detailed instructions to achieve a desired outcome. Within the context of your question, the examples of algorithms are:

a. The mathematical formula for finding the area of a circle: This is a set of instructions that lets you calculate the area if you know the radius of the circle.

d. Instructions for setting up a new DVD player: These are step-by-step instructions to help you set up the player correctly.

e. A series of steps that moves a "lighting bot" around to turns on lights: This likely describes a series of programmed instructions or a script for a bot to follow, which is also algorithmic in nature.

On the other hand:

b. A list of your favorite animals does not qualify as it's simply a list without any chronological or logical step-by-step process.

c. A problem statement does not represent an algorithm as it does not contain the steps for solving the problem but rather just describes it.

Answer 2

A. The mathematical formula for finding the area of a circle.

D. Instructions for setting up a new DVD player

E. A series of steps that moves a "lighting bot" around to turns on lights.

Step-by-step explanation:

Algorithm is a systematic procedure (or process) that produces the answer to a question or the solution of a problem in a finite number of steps.

Option A is an algorithm. The mathematical formula for finding the area of a circle gives a solution to a problem. The problem is finding area of a circle and the formula gives the step by step procedure finding the area of a circle.

Option B is not an algorithm. Option B just provide a list of your favourite animals and it doesn't answer a question we know about.

Option C is not an algorithm. A problem statement is still a problem with no solution whereas algorithm provides solution

Option D is an algorithm. It provides the step by step procedures for setting up a new DVD player

Option E is an algorithm. It provides a series of steps that moves a lighting bot around to turns on lights, so it provides a solution.