Question

The height of an equilateral triangle is 43 cm. The ratio of the area of its circumcircle to that of its in circle is

Answer 1

Answer:

88 : 21√3 IND.

Step-by-step explanation:

cos30° = 43/x

√3/2 = 43/ x => x = 86/√3

radius of circumcircle = x/√3

= 86/√3/√3 = 86/3

area of circumcircle : area of equi.

22/7 * (86/3)^2 : √3/4 * (86/√3)^2

22/7 *1/3 : √3/4

22/21 : √3/4 = 88 : 21√3