Adart is thrown at the board shown. it hits the board at a random point. find the probability that it will land in the shaded region. round to the nearest percent. a. 17% b.34% c.20% d. 25%

Option A - 17%

Step-by-step explanation:

Given : A dart is thrown at The board shown. it hits the board at a random point.

To find : The probability that it will land in the shaded region. round to the nearest percent?

Solution :

First we find the total area of the circle,

Let r be the radius of the circle

So, Area of the circle is

Now, Shaded region is with angle 60°.

The area of shaded region is      

The probability that dart will land in the shaded region is

Into percentage, P=16.66% ≈ 17%.

Therefore, Option A is correct.