Question

PLEASE PLEASEEEEEEE HELPPPPPP!! 100 POINTSSSS :)

Answer 1

The area of the wheel is  31415.9 ft².

The Central angle in degrees is 34.29°

Measure of a central angle in radians is 0.5984 radians

How to calculate the area and central angle of a circle?

A) The image shows an example of this Ferris wheel.

We are given;

Diameter; d = 200 ft

Radius; r = 100 ft

Number of gondolas = 42

Area of the circle wheel = πr²

Area = π * 100²

Area = 31415.9 ft²

B) Now, the sum of angles in a circle is 360°.

Since there are 42 gondola's, then;

Each angle = 360/42 = 60/7°

The central angle will be an angle with its vertex at the center of a circle and with sides that are radii of the circle. From the image, we see that it covers approximately 4 gondola's. Thus;

Central angle = 4 * 60/7° = 34.29°

C) Central Angle in radians will be converted as 0.5984 rad.

D) Arc length between two gondolas is;

S = rθ

S = 100 * 0.5984

S = 59.84 radians

Read more about area and central angle at; brainly.com/question/12299316

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