Question

Find the area of an equilateral triangle inscribed in a circle of radius 32cm
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Answer 1

Answer:

Let the triangle be ABC inscribed in the circle where all the medians (AD, BE and CF) intersect at O

Area of the circle = pi x r2 = 3.14 x 32 x 32 = 3215.36 cm2

clearly, AO/OD = 2:1

=> 32/OD = 2

+> OD = 16

Hence, AD = AO + OD = 16 + 32 = 48

Hence, root (3) x a /2 = 48

=> a = 32 x root (3)

Hence, area of the triangle = root (3) x a2 / 4 = 135.53 cm2

Hence, area of the region not included in the triangle = 3215.36 - 135.53 = 3079.83 cm2

Answer 2

Answer:

see the photo you will understand the answer