A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.
Answers
Answer:
12°
6.28 feet
94.2 ft²
Step-by-step explanation:
A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars
As Car length is not mentioned , we will assume negligible length of Cars
Radius of Wheel = 30 feet
Perimeter of wheel = 2πR = 2 * 3.14 * 30 = 188.4 Feets
Area of Wheel = πR² = 3.14 * (30)² = 2826 ft²
30 Car are attached so angle between two adjacent car = 360/30 = 12°
central angle between two adjacent car = 12°
Arc Length between two adjacent car = 188.4/30 = 6.28 feet
area of a sector between any two cars = 2826/30 = 94.2 ft²
Answer:
Radius of Wheel = 30 feet
Perimeter of wheel = 2πR = 2 * 3.14 * 30 = 188.4 Ft
Area of Wheel = πR² = 3.14 * (30)² = 2826 ft²
30 Cars are attached so angle between two adjacent car = 360/30 = 12°
Hence the central angle between two adjacent car = 12°
Arc Length between two adjacent car = 188.4/30 = 6.28 feet
area of a sector between any two cars = 2826/30 = 94.2 ft²