Practice Example 1.19: Area Calculation using Trapezoidal and Simpson’s Rule - 1.1 | 1. Examples and Solutions | Surveying and Geomatics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

1.1 - Example 1.19: Area Calculation using Trapezoidal and Simpson’s Rule

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for the Trapezoidal Rule?

💡 Hint: Think of how we divide the area into trapezoids.

Question 2

Easy

What does the method of Simpson's Rule primarily improve upon in comparison to the Trapezoidal Rule?

💡 Hint: Consider how shapes differ when approximated in different ways.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the primary purpose of the Trapezoidal Rule?

  • To find exact area
  • To estimate area under a curve
  • To calculate slope

💡 Hint: Remember the shape's approximation technique.

Question 2

Simpson's Rule can provide greater accuracy than Trapezoidal Rule. (True/False)

  • True
  • False

💡 Hint: Which method accounts for the nature of the curve more effectively?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given offsets: 4.0, 3.5, 2.2, 4.0, calculate the area using both methods. Discuss the differences in calculated areas and implications.

💡 Hint: Keep track of the stepwise calculations.

Question 2

In a contest of accuracy, how could you explain which method you would advocate for a curvilinear boundary on a project?

💡 Hint: Think about real-world applications.

Challenge and get performance evaluation