## Express answer in exact form. A regular hexagon with sides of 3″ is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle. (Hint: remember Corollary 1–the area of an equilateral triangle is 1/4 s2 √3.)

October 13, 2019// Blog//

**Answer:**

**1: **720

**2:**

**Step-by-step explanation:**

**1: **There are 10 kids in a race so the number of ways such that they come first , second and third=10×9×8

** =720**

(since the first place is occupied by any one of the ten students i.e. we have ten choices after occupying first position there are only 9 students left for second position and after occupying second for the third position only 8 choices are left)

**2: **We have to find the probability such that there is **no replacement** such that we draw 135.

for the first position we have to find the probability() that ‘1’ comes out of 8 numbers=

similarly for second choice we could not take 1 as there is no replacement

so probability that 3 comes() =

similarly probability that 5 comes at third position() =

**hence, probability that 135 is drawn= **