Question

(09.04 MC)

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. (10 points) please I need to finish in an hour ​

Answer 1

To find the central angle, arc length, and area of a sector between any two cars on the carnival ride, use the formulas for these measurements. The central angle is √2 times the radius. The arc length is calculated using the central angle and the radius, and the area of the sector is a combination of the central angle and the radius squared.

Step-by-step explanation:

To find the central angle, arc length, and area of a sector between any two cars on the carnival ride, we need to use the formulas for these measurements. The central angle is given by the formula √2 x radius. So, in this case, the central angle would be √2 x 30 = 42.43 degrees. The arc length is given by the formula (central angle/360) x 2πr. Therefore, the arc length would be (42.43/360) x 2π x 30 = 22.19 feet. Finally, the area of a sector is given by (central angle/360) x πr². So, the area of the sector would be (42.43/360) x π x 30² = 111.84 square feet.