Answer :
To find the radius of a circle when the area is given, you can use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius and [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
1. Start with the given information:
The area of the circle is 97 square feet.
2. Use the formula:
Substitute the area into the formula:
[tex]\[ 97 = \pi \times r^2 \][/tex]
3. Solve for [tex]\( r^2 \)[/tex]:
To isolate [tex]\( r^2 \)[/tex], divide both sides of the equation by [tex]\( \pi \)[/tex]:
[tex]\[ r^2 = \frac{97}{\pi} \][/tex]
4. Solve for [tex]\( r \)[/tex]:
To find [tex]\( r \)[/tex], take the square root of both sides:
[tex]\[ r = \sqrt{\frac{97}{\pi}} \][/tex]
5. Calculate the result:
When you perform this calculation, you will find that the radius is approximately 5.56 feet.
So, the radius of the circle is approximately 5.56 feet.
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius and [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
1. Start with the given information:
The area of the circle is 97 square feet.
2. Use the formula:
Substitute the area into the formula:
[tex]\[ 97 = \pi \times r^2 \][/tex]
3. Solve for [tex]\( r^2 \)[/tex]:
To isolate [tex]\( r^2 \)[/tex], divide both sides of the equation by [tex]\( \pi \)[/tex]:
[tex]\[ r^2 = \frac{97}{\pi} \][/tex]
4. Solve for [tex]\( r \)[/tex]:
To find [tex]\( r \)[/tex], take the square root of both sides:
[tex]\[ r = \sqrt{\frac{97}{\pi}} \][/tex]
5. Calculate the result:
When you perform this calculation, you will find that the radius is approximately 5.56 feet.
So, the radius of the circle is approximately 5.56 feet.
