A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 35 cm. To the nearest tenth, what is the area of the wheel?. . 97.5 cm2. 195.1 cm2. 27.5 cm2. 390.1 cm2.

Respuesta :

Circumference of the wheel in question = 35 cm
As the wheel is a circle, so
Circumference of the wheel = 2 * (pi) * (radius)
35 = 2 * (pi) * (radius)
Then
Radius = 35/2(pi)
Area of the wheel = (pi) * (radius) ^2
                             = (pi) * [35/2(pi)]^2
                             = (35)^2/4(pi)
                             = 1225/(4 * 3.14159)
                             = 1225/12.56636
                             = 97.48 cm^2
                             = 97.5 cm^2
The correct option among all the options that are given in the question is the first option.

The area of the wheel to the nearest tenth is 97.5cm².

What is the area of the wheel?

The first step is to determine the radius of the wheel.

radius = circumference / 2π

35 / (2 x 3.14) = 5.57 cm

Area of the wheel = r²π

3.14 x (5.57²) = 97.5cm²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

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