Add to ORKGIn this article, we study the following problem. Three circles of equal radius r are centred at the vertices of an equilateral triangle ABC with side 2a. Here we assume that r > a. Find the area of the three-sided region DEF enclosed by all three circles, in terms of r and
Proofs that the area of a circle is ?r2 can be found in mathematical literature dating as far back a...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Abstract: In this brief work, the authors confirmed the existing formulae for the perimeter and area...
Abstract. We derive the general equation for the radius of the inner tangent circle that is associat...
In grade school we were all given the formulas for the area and circumference of a circle: A = πr 2 ...
The Isoperimetric Theorem states that for a planar region of given perimeter, the circle encloses th...
summary:Three examples concerning the area of similar triangles are solved in this article
The derivatives with respect to the variable $r$ of $\pi r^2$ and $\frac{4}{3}\pi r^3$ are $2\pi r$ ...
Circles inscribed inside and outside a triangle have been a topic of interest for mathematicians for...
International audienceWe start by recalling the classical theorem of Girard on the area of a spheric...
Two sides of a triangle have lengths 6 and 10, and the radius of the circumcircle of the triangle i...
A θ-acute triangle is a Euclidean triangle on the plane whose three angles are less than a given con...
Abstract. We determine the radii of the three circles each tangent to the cir-cumcircle of a given t...
Abstract: In this brief work, the authors confirm the existing formulae for the perimeter and area o...
In a recent paper by Wilamowsky et al. [6], an intuitive proof of the area of the circle dating back...
Proofs that the area of a circle is ?r2 can be found in mathematical literature dating as far back a...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Abstract: In this brief work, the authors confirmed the existing formulae for the perimeter and area...
Abstract. We derive the general equation for the radius of the inner tangent circle that is associat...
In grade school we were all given the formulas for the area and circumference of a circle: A = πr 2 ...
The Isoperimetric Theorem states that for a planar region of given perimeter, the circle encloses th...
summary:Three examples concerning the area of similar triangles are solved in this article
The derivatives with respect to the variable $r$ of $\pi r^2$ and $\frac{4}{3}\pi r^3$ are $2\pi r$ ...
Circles inscribed inside and outside a triangle have been a topic of interest for mathematicians for...
International audienceWe start by recalling the classical theorem of Girard on the area of a spheric...
Two sides of a triangle have lengths 6 and 10, and the radius of the circumcircle of the triangle i...
A θ-acute triangle is a Euclidean triangle on the plane whose three angles are less than a given con...
Abstract. We determine the radii of the three circles each tangent to the cir-cumcircle of a given t...
Abstract: In this brief work, the authors confirm the existing formulae for the perimeter and area o...
In a recent paper by Wilamowsky et al. [6], an intuitive proof of the area of the circle dating back...
Proofs that the area of a circle is ?r2 can be found in mathematical literature dating as far back a...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Abstract: In this brief work, the authors confirmed the existing formulae for the perimeter and area...