The diameter of a circle is 14 in. Find its area in terms of π π.
1 answer:
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
- To find radius given diameter, just divide the diameter by 2:
- 14/2 = 7, so the radius is 7.
Step 2: Apply area of circle formula.
- The formula to find the area of a circle is πr², where r = radius.
- Now, plug in the value of r: π(11)².
Step 3: Simplify.
- π(11)²
- π(121)
- 121π
Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
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ANSWER
It is horizontally compressed by a factor of 2 and reflected over the y-axis.
EXPLANATION
The parent function given to us is
The parent function has been transformed to obtain
This transformation is of the form:
If
then,there is a horizontal compression by a factor of k.
Hence
is horizontally compressed by a factor of 2.
Since -2<0, it is a reflection in the y-axis.
The correct choice is the last option.
It is horizontally compressed by a factor of 2 and reflected over the y-axis.
EXPLANATION
The parent function given to us is
The parent function has been transformed to obtain
This transformation is of the form:
If
then,there is a horizontal compression by a factor of k.
Hence
is horizontally compressed by a factor of 2.
Since -2<0, it is a reflection in the y-axis.
The correct choice is the last option.