The circumference of a circular garden is 106.76 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.
2*3.14 * r = 106.76
r = 17 ft
To find the radius of the circular garden, we can use the formula for circumference:
C = 2πr
Given that the circumference of the circular garden is 106.76 feet, we can substitute this value into the formula:
106.76 = 2 * 3.14 * r
Now we can solve for the radius (r). We can start by simplifying the equation:
106.76 = 6.28 * r
To isolate the variable r, we divide both sides of the equation by 6.28:
r = 106.76 / 6.28
Simplifying this division gives us:
r ≈ 17
Therefore, the radius of the garden is approximately 17 feet.
To find the radius of a circular garden, we can use the formula for the circumference of a circle:
C = 2πr
where C represents the circumference and r represents the radius.
In this case, we are given the value of the circumference, which is 106.76 feet. We are asked to find the radius.
Using the formula, we can rearrange it to solve for r:
r = C / (2π)
Substituting the given value of the circumference:
r = 106.76 / (2 * 3.14)
Calculating this expression:
r ≈ 106.76 / 6.28
r ≈ 17.00
Therefore, the radius of the garden is approximately 17.00 feet.