Problem 60301. Compute the area of a lune

Created by ChrisR

Solve Later

Write a function to compute the area of the shaded moon-shaped region in the figure below—that is, the area of a smaller circle that does not overlap with a larger circle. The input will be the radius a of the smaller circle, the radius b of the larger circle, and the separation c between centers of the circles. 

Solve

Solution Stats

9 Solutions
7 Solvers

Last Solution submitted on Oct 17, 2024

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Tim on 28 May 2024

When c is close to b-a (as in test case 4, with a=3, b=4, c=1.01) the solutions are susceptible to roundoff error; after some checking, I believe the correct answer for test case 4 (to 15 significant figures) should be A=0.00650196332827386 rather than A=0.006501963328256.

ChrisR on 1 Jun 2024

I changed the tolerance on that test.

Solution Comments

Show comments

Problem Recent Solvers7

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 60301. Compute the area of a lune

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers7

Suggested Problems

More from this Author287

Problem Tags

Community Treasure Hunt

Problem 60301. Compute the area of a lune

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers7

Suggested Problems

More from this Author287

Problem Tags

Community Treasure Hunt

Players