Answer: a. 279.11meters
b. 2513.27 feet
Step-by-step explanation:
Circumference of a circle= 2πr
where r = radius of the circle.
In the picture, there are t
18 spokes, therefore the angle between any two spokes will be:
360° ÷ 18 = 20°
The arc length traversed by passenger will be= radius of the circle × the angle that is traversed by the passenger
radius = 200 feet.
He has traveled from M to J,that subtends 4 × 20 = 80°
= 80π/180 radian = 4π/9radian
The passenger has therefore traveled:
200 × 4π/9 = 800π/9
= (800×3.14)/9
= 279.11meters
Part B.
Full ride is equivalent to 2 × the circumference of the circle= 2 × 2πr
= 4πr
= 4 × 3.14 × 200
= 2512 feet
So,he would travel 4* 7 * 200 feet = 2513.27 feet
