The area is about ___ square meters.
Understand the Problem
The question is asking for the area of a circle given the radius. It states specific measurements, which need to be used to calculate the area using the formula A = πr².
Answer
The area is about \( 113.04 \) square meters.
Answer for screen readers
The area is about ( 113.04 ) square meters.
Steps to Solve
- Identify the radius of the circle
The radius is given as ( 6 ) m.
- Use the area formula for a circle
The area ( A ) of a circle is calculated using the formula: $$ A = \pi r^2 $$ where ( r ) is the radius.
- Substitute the radius into the formula
Now, substitute ( r = 6 ) m into the area formula: $$ A = \pi (6)^2 $$
- Calculate the area
First calculate ( (6)^2 = 36 ). Now substitute back into the area formula: $$ A = \pi \cdot 36 $$
- Approximate the value of ( A )
Using ( \pi \approx 3.14 ): $$ A \approx 3.14 \cdot 36 $$ Calculating gives: $$ A \approx 113.04 $$
The area is about ( 113.04 ) square meters.
More Information
The area of a circle formula helps in various applications, such as determining the space a circular garden will occupy or the amount of paint needed for circular surfaces.
Tips
- Confusing the radius with the diameter. Remember that the radius is half of the diameter.
- Not squaring the radius correctly. Double-check the calculation when squaring ( r ).
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