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A circle has a diameter of 20 ft. What is the area?

Show or explain your reasoning.

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User Lurifaxel
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2 Answers

3 votes

Answer:

100π, or about 312. Could also be 314.16 if it needs to be rounded.

Explanation:

First, the area of a circle is πr^2

To find radius, it's diameter/2.

So the radius is 20/2 which is 10.

With this, we plug it in: π(10)^2 = π100 = 100π.

That is an exact answer. For a rounded answer, assume π = 3.14.

3.14*100 = 314 sqr feet.

However, it you want to round the final answer, 100π is around 314.159265359 thus making rounding to the nearest hundredth 314.16.

User Genjuro
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4 votes

The area of a circle is given by the formula:

area = pi * r^2

where pi is a constant approximately equal to 3.14 and r is the radius of the circle.

To find the area of the circle, we first need to find the radius. The radius is half the diameter, so the radius of the circle is 20/2 = 10 feet.

Plugging this value into the formula, we get:

area = 3.14 * 10^2 = 3.14 * 100 = 314 square feet

So the area of the circle is 314 square feet.

User Jim Driscoll
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5.0k points