Radius of cylinder = 5 cm
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.
In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
112, -28, 7, ...
It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.
Let's find the common ratio by dividing each term by the previous term:
Testing with the third term:
Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:
we know that
the standard form of the equation of the circle is
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
<u>Convert to standard form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
the center of the circle is
the radius of the circle is
therefore
<u>the answer is</u>
the radius of the circle is