I know that the area for a spherical triangle is calculated as Area $= r^2(a+b+c-\pi)=r^2E$ where $E= (a+b+c-\pi)$ is the spherical excess I was wondering why do you have to multiply by $r^2$ (the radius)?
2026-03-25 20:09:32.1774469372
Spherical Triangle
155 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in TRIANGLES
- Triangle inside triangle
- If in a triangle ABC, ∠B = 2∠C and the bisector of ∠B meets CA in D, then the ratio BD : DC would be equal to?
- JMO geometry Problem.
- The length of the line between bisector's endings
- Is there any tri-angle ?
- Properties of triangles with integer sides and area
- Finding the centroid of a triangle in hyperspherical polar coordinates
- Prove triangle ABC is equilateral triangle given that $2\sin A+3\sin B+4\sin C = 5\cos\frac{A}{2} + 3\cos\frac{B}{2} + \cos\frac{C}{2}$
- Complex numbers - prove |BD| + |CD| = |AD|
- Area of Triangle, Sine
Related Questions in AREA
- I cannot solve this simple looking trigonometric question
- Integrand of a double integral
- Area of Triangle, Sine
- Probability of area in a region being less than S
- Calculating an area.
- Proving formula to find area of triangle in coordinate geometry.
- Find the Side length of the shaded isosceles triangle
- Finding area bound by polar graph
- Why are there only two answers for this co-ordinate geometry question?
- Moment of inertia of a semicircle by simple integration.
Related Questions in SPHERICAL-GEOMETRY
- Name of some projection of sphere onto $\mathbb{R}^2$
- Can you generalize the Triangle group to other polygons?
- motion on the surface of a 3-sphere
- What length would the sides of a triangle over Earth's surface be for the sum of its angles to be 180.1°
- why is the content of a n-sphere given by $\int_{0}^{R} S_nr^{n-1}dr = {S_nR^n \over n} $?
- Rotate a point according to a perpendicular point
- Rotate the surface of a sphere using altitude
- Is there a nice way to calculate $\int (1-x_3)^2$ over the hemisphere?
- Integrate the normal vector over a spherical polygon
- Spherical Geometry inequalities with triangles using main formula
Related Questions in SPHERICAL-TRIGONOMETRY
- Convert a vector in Lambert Conformal Conical Projection to Cartesian
- Solid Angle Trigonometry?
- Integrate the normal vector over a spherical polygon
- Why is $e^{i\pi}= -1$
- Spherical trigometry for Sailing Problems
- Angle between two points on a sphere
- Spherical Trigonometry for Horizontal coordinate system
- Find Latitude x miles north of starting latitude using ellipsoid earth model
- Expressing angle between two vectors in 3D in terms of spherical polar coordinates
- Help with direct tunnel distance between two lat /long coordinates.
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?
Areas of figures with the same shape are proportional to the squares of distances involved. Thus the area enclosed by a circle must be some constant times $r^2$. The area of a regular pentagon whose side has length $s$ must be some constant times $s^2$. And so on. The constant depends on the shape.