Discussion

Explanation:

The diagram can be drawn as follows:

​​​​​​​

Height of the given triangle = 9 and base = 4

∴ Area of the triangle = 12×9×4 = 18

We know area of a triangle = abc/4R

(where a, b, and c are the sides of the triangle and R is the circumradius)

a = AB = 4 units
b = BC = 92+12=82 units
c = AC = 32+92=90 units

The sides of the triangle are 4, √82 and √90

⇒ 18 = 4×82×904R

⇒ R = 2053

∴ Area of the circumcircle = πR2 = 205π9

Hence, option (b).

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