Math, asked by randhir68, 1 year ago

the length of a side of an equilateral triangle is 21 cm what would be the approximate area of the circumcircle of the above triangle

Answers

Answered by josimagic
1

from the figure attached with this,the large triangle is an equilateral triangle with each angle 60°. AC bisect ∠A. So ∠CAB=30° , ∠ACB=60° and ∠ABC=90°

ΔABC is a right triangle with angles 30°,60° and 90°

BC:AB:AC=1:√3;2

AB= 10.5

we get radius  of circumcircle, r= AC =  21/√3

area of circumcircle  A = π r^2  = 3.14  x (21/√3 )^2 = 462 cm^2

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