Question

the side of an equilateral triangle is 8 cm find the radius and the area of circumcircle​

Answer 1

Answer:

14.51 cm^2

Step-by-step explanation:

height of triangle =

$( \sqrt{3} \div 2) \times a$

a = side of triangle

h = 4√3 cm

radius of circumcircle of equilateral triangle is 2/3 of hight of triangle.

R = 2/3 ×h

= 2/3×4√3

= 8/√3 cm

area of circumcircle = πr^2

= π×(8/√3)

= 14.51 cm^2

Answer 2

Step-by-step explanation:

height of triangle =

( \sqrt{3} \div 2) \times a(

3

÷2)×a

a = side of triangle

h = 4√3 cm

radius of circumcircle of equilateral triangle is 2/3 of hight of triangle.

R = 2/3 ×h

= 2/3×4√3

= 8/√3 cm

area of circumcircle = πr^2

= π×(8/√3)