Answer:
The area of the shaded region= 37.68
Step-by-step explanation:
Area of the outer circle= 2* 3.14* 36 (Area of the circle=2r)
=113.04
Area of the inner circle=2*3.14* 12
=75.36
Area of the shaded region= Area of the outer circle- Area of the inner circle
= 113.04- 75.36
=37.68
There are several ways to prove a mathematical statement. These ways include: by contradiction, by induction, contraposition, etc
<h3>How to prove the statement by contradiction</h3>To prove the statement, we make use of proof by contradiction
From the question:
x is a composite number such that: x > 1
This means that 1 < a < x is a factor of x
This can be represented as:
Where:
Assume that b is less than or equal to a.
Also, let
This means that:
The above becomes
Rewrite as:
So, we have:
The above means that:
The above inequality is a contradiction because, a number x cannot be greater than itself
This means that, the supposition is wrong.
Hence, the given statement has been proved by contradiction
Read more about proof by contradiction at: