Question

The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value π=3.14.

a. 68 feet
b. 74 feet
c. 86 feet
d. 92 feet
e. 102 feet

Answer 1

The length of the outer curve is approximately 63 feet.

Step-by-step explanation:

To find the length of the outer curve, we need to determine the circumference of the circular road. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. In this case, since the road is 20 feet wide, the radius will be half of that, which is 10 feet. Plugging in the values, we get C = 2 × 3.14 × 10 = 62.8 feet. Rounding to the nearest foot, the length of the outer curve is approximately 63 feet.