Im after a calculation i can use to find the smallest circle when i input from 1 to 10 small circles of different radius. I am interested as i do drilling and lets say we have 2 x 100mm conduits and 3 x 140mm conduits to pull into a hole. What is the smallest size hole i would have to make?
2026-03-27 12:08:05.1774613285
Smallest large circle to fit multiple different radius small circles
581 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in ALGORITHMS
- Least Absolute Deviation (LAD) Line Fitting / Regression
- Do these special substring sets form a matroid?
- Modified conjugate gradient method to minimise quadratic functional restricted to positive solutions
- Correct way to prove Big O statement
- Product of sums of all subsets mod $k$?
- (logn)^(logn) = n^(log10+logn). WHY?
- Clarificaiton on barycentric coordinates
- Minimum number of moves to make all elements of the sequence zero.
- Translation of the work of Gauss where the fast Fourier transform algorithm first appeared
- sources about SVD complexity
Related Questions in CIRCLES
- Point in, on or out of a circle
- Constrain coordinates of a point into a circle
- Circle inside kite inside larger circle
- How to find 2 points in line?
- Locus of a particular geometric situation
- Properties of a eclipse on a rotated plane to see a perfect circle from the original plane view?
- Complex numbers - prove |BD| + |CD| = |AD|
- Number of line segments to approximate a circle
- Right Angles in Circles
- Simpler Derivation of $\sin \frac{\pi}{4} = \cos \frac{\pi}{4} = \frac{1}{\sqrt{2}}$,
Related Questions in PACKING-PROBLEM
- Can the squares with side $1/n$ be packed into a $1 \times \zeta(2)$ rectangle?
- Equilateral Triangle within a Rectangle
- What is the maximum number of non-overlapping circles that can be placed inside an ellipse?
- Packing $n$-diamonds in a $n$-cube and a number theoretic conjecture?
- Pack three largest sphere in a cube with given length.
- Does finding the line of tightest packing in a packing problem help?
- Orthogonally packing consecutive integer cubes 1x1x1 -nxnxn inside the smallest integer cube.
- Tetris: What is the Polyomino (max 3x3) with the least probability of being useful to the player?
- Size dependence of density of random close packing (for spheres)
- Packing Points into Region
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
About your particular problem, I would first pack the $5$ circles as tight as possible, then for the given configuration, try the smallest disk that contains it. For the packing, place the three larger ones pairwise tangent, then place the other $2$ so that either each of the smaller one is tangent to $2$ large circles, or one small is tangent to $2$ large, and another small is tangent to the first small and to a large one ( two possibilities). Now for each of these configurations, try to find the smallest disk that contains it. It has to be tangent to $3$ of the $5$ disks, and moreover, the tangency points form an acute triangle. Once you find such a circle, you know it is the smallest for the given configuration. Now compare the radiuses that you've gotten for each of the $2$ configurations. I am not sure this is guaranteed the best, but I think it comes pretty close to the best one.