Question

At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner radius is 9 yd, and its outer radius is 12 yd.
We are going to give a new layer of coating to the path. If one gallon of coating can cover 8yd^2, how many gallons of coating do we need? Note that coating comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for pi.)

Answer 1

For the path, we'll need 25 gallons of coating.

We know that the area of the path is given by the formula

A = πr₁² - πr₂²

Where r₁ is the outer radius, and r₂ is the inner radius

As per the question, we have

r₁ = 12 yd, and r₂ = 9 yd

Substitute the values in the formula, and we get

A = π(12)² - π(9)²

A = π(144) - π(81)

A = 63π = 63(3.14)

A = 197.92 sq yd

Since one gallon of coating can cover 8 sq yd.

The gallons of coating needed :

Divide the area of the path by 8

So, 197.92/8

⇒ 24.74 ≈ 25 gallons

Thus, we'll need 25 gallons of coating for the path.

Learn more about the area of the circle here:

brainly.com/question/19794723

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