Acircle is inscribed in an equilateral triangle. a point in the figure is selected at random. find the probability that the point will be in the shaded region.
a. about 60%
b. about 50%
c. about 75%
d. about 30%

The probability is about 60%

Step-by-step explanation:

Given a circle is inscribed in an equilateral triangle.  

A point in the figure is selected at random then we have to find its probability.

Let the radius of circle is r and side of equilateral triangle is a

OD=r

As centroid of the triangle divides the median into 2:1

∴ AO=2r

In ΔABD,

In percentage:

which is about 60%

Hence, the correct option is A.

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