Find the area of the circle below. Use 3.14 for π.
Understand the Problem
The question is asking us to calculate the area of a circle given the radius of 3 feet and to use 3.14 as the value for π. The formula for the area of a circle is A = πr², where r is the radius.
Answer
The area of the circle is \( 28.26 \, ft^2 \).
Answer for screen readers
The area of the circle is ( 28.26 , ft^2 ).
Steps to Solve
- Identify the formula for the area of a circle
The formula to calculate the area of a circle is given by:
$$ A = πr^2 $$
where ( A ) is the area, ( π ) is a constant (approximately ( 3.14 )), and ( r ) is the radius of the circle.
- Substitute the values into the formula
In this problem, the radius ( r ) is given as ( 3 ) feet. We will substitute this value into the area formula:
$$ A = 3.14 \times (3)^2 $$
- Calculate the value of ( r^2 )
First, we need to calculate ( (3)^2 ):
$$ (3)^2 = 9 $$
Now we can substitute this back into the area formula:
$$ A = 3.14 \times 9 $$
- Perform the multiplication to find the area
Now, we multiply ( 3.14 ) by ( 9 ):
$$ A = 3.14 \times 9 = 28.26 $$
Thus, the area of the circle is ( 28.26 ) square feet.
The area of the circle is ( 28.26 , ft^2 ).
More Information
The area of a circle can be visualized as the space contained within it. Knowing this area is useful in various practical contexts, such as determining how much space a circular garden will occupy.
Tips
- Not squaring the radius: A common mistake is to forget to square the radius before multiplying by ( π ). Always ensure that you compute ( r^2 ) first.
- Using the wrong value for ( π ): Make sure to use the provided value of ( 3.14 ) for ( π ) instead of a more precise version if specified.
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