Question

I was wondering how to find these things about the Singapore flyer(ferries wheel)? The measure of the central angle in degrees, the measure of the central angle in radian, the arc length between two cars, and the area of a sector between two cars?

Answer 1

To find the measure of the central angle in degrees and radians, arc length between two cars, and the area of a sector between two cars, you can use specific formulas involving the radius and angle.

Step-by-step explanation:

To find the measure of the central angle in degrees, you can use the formula: Angle = (Arc length / Radius) * 180 / π. The measure of the central angle in radians can be found by dividing the arc length by the radius. The arc length between two cars can be calculated by subtracting the angle of one car from the angle of the other and multiplying it by the radius. Finally, to calculate the area of a sector between two cars, you can use the formula: Area = (Angle / 360) * π * Radius^2.

Answer 2

Well you need to know 2 things: the number of cars and the radius of the wheel.

Angle in degrees = 360 / number of cars.
Angle in radians = 2π / number of cars.
Arc length = angle in radians * radius.
Area sector = 1/2 * arc length * radius.