Andrew's dog Bubba has an exercise area behind the house. A stake in the ground has a 12 foot rope tied to it. The other end of the rope is fastened to Bubba's collar. If Bubba travels in a circular path around the stake. What is the largest Circumference allowed by the rope's length. Round to the nearest food.
75 feet
38 feet
452 feet
24 feet
C = pi * d
C = 3.14 * 24
C = ?
37.68 is the correct answer but rounded would be 38 feet
To find the largest circumference allowed by the rope's length, we need to calculate the circumference of the circle that Bubba can travel.
The circumference of a circle is given by the formula:
C = 2πr
where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
In this case, the rope's length is 12 feet, which is equivalent to the circle's radius. Substituting this value into the formula, we get:
C = 2π(12)
C = 24π
To find the largest circumference allowed by the rope's length, we need to find the approximate value of 24π. Using the approximate value of π as 3.14159, we calculate:
C ≈ 24 * 3.14159
C ≈ 75.39816
Since the question asks us to round to the nearest foot, the largest circumference allowed by the rope's length is approximately 75 feet. Therefore, the correct answer is 75 feet.