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
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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
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