Question

find the radius of a circle drawn by a compass when angle between two arm of a compass is 120 degree and the length of each arm is 24 cm​

Answer 1

Answer:

24√3 IND.

Step-by-step explanation:

triangle thus formed on the circle will be an isosceles triangle with 2 equal sides a,a= 24,24 & two equal angles of 30°,30° on base c .here c be the radius of circle !

area = 1/ 2 a*a * sin 120°

= 1/2 * 24 * 24 * √3/2 = 144√3

1/2 *ac sin 30° = 144√3

1/2* 24 * c * 1/2 = 144√3

c = 144√3/6 = 24√3 cm