How to Find the Arc Length of a Function


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is the equation for the length of a curve following y=f(x) between x=a and x=b?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. What is the equation for the length of the curve following y=f(x) between x=a and x=b given f(x) below?

2. What is the length of y = x between x=3 and x=8?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Evaluate your ability to find and identify arc lengths of a function using this quiz and worksheet combo. This interactive quiz and printable worksheet will ask questions about curve length and equations used to find it.

Quiz & Worksheet Goals

In these guides, students will be tested on the following:

  • Interpreting graphs and curves
  • The arc lengths of functions
  • Identifying equations to find the arc length

Skills Practiced

This quiz will require a number of skills, including:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on finding arc lengths
  • Problem solving - use acquired knowledge to solve for curve length in practice problems
  • Interpreting information - verify that you can read information regarding how to create an equation to find arc length and interpret it correctly
  • Information recall - access the knowledge you've gained regarding functions and arc length

Additional Learning

For additional information on finding the arc length of a function, review the complementary lesson called How to Find the Arc Length of a Function. Objectives covered by the lesson include:

  • Apply arc length functions to real life situations
  • Identify equations used to find curve length
  • Know how calculus is used in finding arc length