How do you find the 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 a circumradius of equilateral triangle?

Circumradius (R) Circumradius is defined as the radius of that circle which circumscribes (surrounds) the triangle. As shown in the above figure, the circle with centre O passes through the three vertices of the triangle ABC. NOTE: The ratio of circumradius to inradius in an equilateral triangle is 2:1 or (R = 2r).

How do you draw a triangle with circumradius 3cm?

Draw a triangle o

1. 1) First draw a line CD. At C and with a protractor make an angle of 110° , as shown,
2. 2) With C as the centre and a radius of 3 cm cut the line CE.
3. 3) At B, and with a protractor, make an angle of 75° with BC, as shown below:
4. 4) The other angles can be measured with the help of the protactor.

What is inradius and circumradius 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 inradius and circumradius of a right angled triangle?

How do you draw a triangle of Circumradius 3.5 cm?

At the center O, make an angle XOZ = 140, Z being on the circumference. Join XZ. One side of the triangle is ready. Make an angle ZXY of 60 degrees, with Y on the major segment of the circle.

How do you construct the Circumradius triangle 4cm?

1. Draw a line segment BC=4cm.
2. With B as centre and radius of 4cm, draw an arc.
3. Similarly, with C as centre and radius of 4cm, draw another arc to intersect the previous arc at A.
4. Join AB and AC.
5. ABC is the required equilateral triangle.
6. Draw the perpendicular bisector of the sides of the triangle.