What is the formula of circumradius of an equilateral triangle?

What is the formula of circumradius 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 circumradius of an equilateral triangle of sides 8 centimeters?

Hence , the circumradius is 8/√3 cm.

What is the circum radius in cm of an equilateral triangle whose side is 9 cm?

5.196cm
⇒OB=BDcos300 . Putting the value in above equation, we get: ⇒OB=4.5√3/2=91.732=5.196. Therefore, the radius of the circle = OB = 5.196cm.

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

Answer: The radius of its circumcircle is 3 cm.

What is circumradius of a right triangle?

Right triangles The hypotenuse of the triangle is the diameter of its circumcircle, and the circumcenter is its midpoint, so the circumradius is equal to half of the hypotenuse of the right triangle.

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.

How do you find the circumradius of a triangle?

Also, we can find the length of a circumradius using the fact that if the lengths of the sides of a triangle are a, b, and c, then the length of the circumradius of that triangle can be found using the following formula: R = (abc) / √((a + b + c)(b + c – a)(c + a – b)(a + b – c))

What is the measure of the Circumradius of a triangle whose sides are 9 40 and 41?

9-40-41 is a Pythagorean triplet. In a right angled triangle, the circum radius is half the hypotenuse. In the given triangle, the hypotenuse = 41. Therefore, the circum radius = 412 = 20.5 units.

What is the measure of the Circum radius of a triangle whose sides are 9 cm 40 cm and 41 cm?

Question 3 : What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40, and 41? The radius of the circle that circumscribes the triangle is 20.5.

What is the area of Circumcircle of a triangle?

Approach: Since the hypotenuse C passes through the center of the circle, the radius of the circle will be C / 2. And we know that the area of a circle is PI * r2 where PI = 22 / 7 and r is the radius of the circle. Hence the area of the circumcircle will be PI * (C / 2)2 i.e. PI * C2 / 4.

How do you find the area of an equilateral triangle Incircle?

The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa2/12.

What is circumradius in geometry?

In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

What is the circumradius of an equilateral triangle of sides 8 cm?

Maths keeps one mentally active. The circumradius of an equilateral triangle of sides of 8 cm = 8/√3 = 4.618802154 or 4.62 cm. With TrianCal, circumradius ≈ 4.62 cm. Since it is a equilateral triangle, we can easily find its circumstances radius.

What is the circumcenter of equilateral triangle?

The circumcenter of equilateral triangle is the point of intersection perpendicular bisectors of the sides. Here, the circumcircle passes through all the three vertices of the triangle. If any of the incenter, orthocenter or centroid coincide with circumcenter of a triangle, then it is called an equilateral triangle.

What are the sides of an equilateral triangle equal to?

Also, the three angles of the equilateral triangle are congruent and equal to 60 degrees. Suppose, ABC is an equilateral triangle, then, as per the definition; AB = BC = AC, where AB, BC and AC are the sides of the equilateral triangle. And. ∠A = ∠B = ∠C = 60°. Based on sides there are other two types of triangles:

Where is the centroid of a regular triangle at equidistant?

Note: The centroid of a regular triangle is at equidistant from all the sides and vertices.