What is the radius of circumcircle of equilateral triangle?

What is the radius of circumcircle of equilateral triangle?

Circumscribed circle of an equilateral triangle is made through the three vertices of an equilateral triangle. The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.

What is the formula of radius of equilateral triangle?

In equilateral, altitude is the angle bisector of the triangle. Hence, exradius is √32a. ⇒R:r:x=a√3:a2√3:√32a=2:1:3.

What is the radius of the circumcircle of an equilateral triangle of side 6 √ 3 cm?

∴ Radius of the incircle =3cm.

What is the ratio of radius of incircle and circumcircle of an equilateral triangle?

Thus the required ratio is 4:1.

How do you find the circumcenter of a equilateral triangle?

Constructing Circumcenter of Triangle Step 1: Draw the perpendicular bisectors of all the sides of the triangle using a compass. Step 2: Extend all the perpendicular bisectors to meet at a point. Mark the intersection point as O, this is the circumcenter.

What is the circumference of equilateral triangle?

The basic formula that is used to calculate the perimeter of an equilateral triangle is: P = 3a, where ‘a’ represents one side of the triangle. Since all the three sides of an equilateral triangle are equal, the sum becomes a + a + a = 3a.

What is the radius of the circumcircle of a triangle with side 3/4 5?

Radius of the circumcircle =2. 5 cm.

What is circumradius and inradius of a triangle?

Inradius The inradius( r ) of a regular triangle( ABC ) is the radius of the incircle (having center as l), which is the largest circle that will fit inside the triangle. Circumradius: The circumradius( R ) of a triangle is the radius of the circumscribed circle (having center as O) of that triangle.

What is the area of circumcircle of an equilateral triangle of side 6 cm?

⇒ a = (18 cm)/3 = 6 cm. Let the length of the radius of the circumcircle of the equilateral triangle be “R” cm. ⇒ R = (6 cm)/√3 = 2√3 cm. ∴ Area of the circumcircle of the equilateral triangle, the length of whose perimeter is 18 cm is 12π cm2.

What is circumcircle radius?

The circumradius of a cyclic polygon is the radius of the circumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle. Since every triangle is cyclic, every triangle has a circumscribed circle, or a circumcircle.