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3 years ago

If a wheel has a radius of 3 in how far will it travel in 30 revolutions?

1 answer:

5 0

ANSWER:

180π units

The distance the wheel will travel in 30 revolutions is 180π units.

STEP-BY-STEP EXPLANATION:

The shape of a wheel is circular.

To find the distance the wheel will travel for 30 revolutions, we must first find the distance it will travel for 1 revolution.

1 revolution of the wheel would be equivalent to the circumference of the wheel as it is a circle.

Therefore, we will require the formula for the circumference of a circle in order to solve this question.

The formula for the circumference of a circle is displayed below:

Let C = circumference of circle

C = 2πr OR C = πd

Where r = radius of circle

Where d = diameter of circle

Using this, we will substitute the given value from the problem into the formula to obtain the distance the wheel will travel for 1 revolution.

Let d = distance the wheel will travel for 1 revolution

r = 3 units

d = 2πr

THEREFORE:

d = 2π( 3 )

d = 6π units

In order to obtain the distance the wheel will travel for 30 revolutions, we simply have to multiply the distance the wheel will travel for 1 revolution ( as given above ) by 30.

Let x = distance the wheel will travel for 30 revolutions

x = d × 30

x = 6π × 30

x = 180π units

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Step-by-step explanation:

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Now Given:

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So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

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Also Given:

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Amount paid in Old debts will be equal 30% of total amount receive

framing in equation form we get;

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Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

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