The perimeter of the triangle is 3s=3r√3 The area of the circle is πr2 So: πr2=3r√3 πr=3√3 r=3√3π.结果一 题目 The number of inches in the perimeter of an equilateral triangle equals the number of square inches in the area of its circumscribed circle. What is the rad...
【题目】The number of inches in the perimeter of an equilateral triangle equals the number of square inches in the area of its circumscribed circle.What is the radius,in inches,of the circle?(A.3√2TB.3√3TC.√3D.6TE.√3元 相关知识点: ...
Equilateral Triangle:All three sides have equal lengthAll three angles are equal to 60 degreesEquilateral Triangle EquationsPerimeter Semiperimeter Area Altitude Median Angle Bisector Circumscribed Circle Radius Inscribed Circle RadiusRight Triangle:One angle is equal to 90 degreesRight Triangle Equations...
{eq}\Delta {/eq}ABC is an equilateral triangle. If the circumscribed circle has a radius of 2, what is the area of the triangle? round your answer to the nearest tenth 27. {eq}\Delta {/eq}ABC is an equilateral triangle with edge lengths of 12.7 cm and a height of 11 cm....
Coordinates of the circumscribed circle: U[12.99; 7.5]Coordinates of the inscribed circle: I[12.99; 7.5]Exterior (or external, outer) angles of the triangle: ∠ A' = α' = 120° = 1.047 rad∠ B' = β' = 120° = 1.047 rad∠ C' = γ' = 120° = 1.047 radCalculate another ...
△ABC is an equilateral triangle that has a side length of 3. It is known that D is a point in △ABC where ∠ADB=∠ADC=60∘. In that case, the radius of the circumscribed circle of △ABC is ( ). 已知D是边长为3的等边三角形ABC所在平面上一点,且∠ADB=∠ADC=60∘,则△ABD的外接...
Equilateral triangle formulas Letabe the length of the sides,A- the area of the triangle,pthe perimeter,R- the radius of the circumscribed circle,r- the radius of the inscribed circle,h- the altitude (height) from any side. These values are connected by these formulas below: ...
The only rational triangle is the equilateral triangle (Conway and Guy 1996). A polyhedron composed of only equilateral triangles is known as a deltahedron. Let any rectangle be circumscribed about an equilateral triangle. Then (17) where , , and are the areas of the triangles in the ...
The problem gives us an equilateral triangle. The circle inscribed in this triangle has a radius of2units. This can be... Learn more about this topic: How to Find the Area of a Triangle: Lesson for Kids from Chapter 2/ Lesson 19 ...
There are also some easy formulas to solve the inradius and circumradius for an equilateral triangle. The center of both the inscribed and circumscribed circle in an equilateral triangle is the point where the angle bisectors and perpendicular bisectors intersect. ...