Agame has a circular playing area in which you must hit a ball into a circular hole. the area of the playing area is 16 ft2. the hole has a diameter of 1 ft. what is the probability of hitting a ball into the circular hole? express your answer as a percentage rounded to the nearest tenth.

The probability of hitting a ball into the circular hole is 5%.                            

Step-by-step explanation:

Given : A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16 ft². The hole has a diameter of 1 ft.

To find : What is the probability of hitting a ball into the circular hole?

Solution :

Applying a geometric probability,

Deified as

The entire region is the area of the circle,

The area of the playing area is 16 ft².

Region in the event is the area of the circular hole.

The hole has a diameter of 1 ft.

Radius of the hole is ft.

The area of the hole is

Substitute the value in the formula,

or in percentage

Therefore, The probability of hitting a ball into the circular hole is 5%.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for