Answer :
To find the radius of a circle when you know its circumference, you can use the formula for the circumference of a circle:
[tex]\[ \text{Circumference} = 2 \times \pi \times \text{radius} \][/tex]
Given that the circumference is 197 inches, you can set up the equation:
[tex]\[ 197 = 2 \times \pi \times \text{radius} \][/tex]
To solve for the radius, divide both sides of the equation by [tex]\( 2 \times \pi \)[/tex]:
[tex]\[ \text{radius} = \frac{197}{2 \times \pi} \][/tex]
Using the value of [tex]\(\pi\)[/tex] (approximately 3.14159), you can calculate:
[tex]\[ \text{radius} \approx \frac{197}{2 \times 3.14159} \][/tex]
[tex]\[ \text{radius} \approx 31.3535 \][/tex]
Therefore, the radius of the circle is approximately 31.35 inches.
[tex]\[ \text{Circumference} = 2 \times \pi \times \text{radius} \][/tex]
Given that the circumference is 197 inches, you can set up the equation:
[tex]\[ 197 = 2 \times \pi \times \text{radius} \][/tex]
To solve for the radius, divide both sides of the equation by [tex]\( 2 \times \pi \)[/tex]:
[tex]\[ \text{radius} = \frac{197}{2 \times \pi} \][/tex]
Using the value of [tex]\(\pi\)[/tex] (approximately 3.14159), you can calculate:
[tex]\[ \text{radius} \approx \frac{197}{2 \times 3.14159} \][/tex]
[tex]\[ \text{radius} \approx 31.3535 \][/tex]
Therefore, the radius of the circle is approximately 31.35 inches.
