How do you find the circumradius of an equilateral triangle?
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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) First draw a line CD. At C and with a protractor make an angle of 110° , as shown,
- 2) With C as the centre and a radius of 3 cm cut the line CE.
- 3) At B, and with a protractor, make an angle of 75° with BC, as shown below:
- 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?
- Draw a line segment BC=4cm.
- With B as centre and radius of 4cm, draw an arc.
- Similarly, with C as centre and radius of 4cm, draw another arc to intersect the previous arc at A.
- Join AB and AC.
- ABC is the required equilateral triangle.
- Draw the perpendicular bisector of the sides of the triangle.