Question

A dartboard consists of a circle inscribed in a square. the area of the circle is 16π square centimeters. the area of the square is 64 square centimeters. izzy randomly throws a dart at the square, and it lands inside the square. to the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? use 3.14 for π. 22% 25% 75% 79%

Answer 1

`22\%`

Explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x-------> size of the event space

y------> size of the sample space

`P=(x)/(y)`

In this problem we have

`x=(64-16\pi )\ cm^(2)`

`y=(64)\ cm^(2)`

Substitute the values

`P=((64-16*(3.14) ))/(64)=0.215=21.5\%`

Round to the nearest percent

`21.5\%=22\%`

Answer 2

That probability would be 1 -(16π/64) ≈ 22%.