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ISEE Upper Level Math : How to find the area of a circle

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Example Question #190 : Geometry

You are conducting fieldwork, when you find a tree whose radius at chest height is . What is the area of a cross section of the tree at chest height?

Possible Answers:

$A=2.25\pi m^2$

$A=3\pi m^2$

$A=4.50\pi m^2$

A=2.25m^2

Correct answer:

$A=2.25\pi m^2$

Explanation:

You are conducting fieldwork, when you find a tree whose radius at chest height is . What is the area of a cross section of the tree at chest height?

Begin with the formula for area of a circle

$A=\pi r^2$

Now, we know r, so all we have to do is plug it in and solve.

$A=\pi (1.5m)^2=\pi 2.25m^2=2.25\pi m^2$

So, our answer is:

$A=2.25\pi m^2$

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Example Question #21 : How To Find The Area Of A Circle

Find the area of a circle with a diameter of 16in.

Possible Answers:

$64\pi \text{ in}^2$

$128\pi \text{ in}^2$

$36\pi \text{ in}^2$

$96\pi \text{ in}^2$

$84\pi \text{ in}^2$

Correct answer:

$64\pi \text{ in}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi r^2$

where r is the radius of the circle.

Now, we know the diameter is 16in. We also know the diameter is two times the radius. Therefore, the radius is 8in. So, we get

$A = \pi \cdot (8\text{in})^2$

$A = \pi \cdot 64\text{in}^2$

$A = 64\pi \text{ in}^2$

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Example Question #22 : How To Find The Area Of A Circle

A circle has a diameter of 18cm. Find the area.

Possible Answers:

$36\pi \text{ cm}^2$

$324\pi \text{ cm}^2$

$64\pi \text{ cm}^2$

$124\pi \text{ cm}^2$

$81\pi \text{ cm}^2$

Correct answer:

$81\pi \text{ cm}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know the diameter of the circle is 18cm. We also know the diameter is two times the radius. Therefore, the radius is 9cm.

Knowing this, we can substitute into the formula. We get

$A = \pi \cdot (9\text{cm})^2$

$A = \pi \cdot 81\text{cm}^2$

$A = 81\pi \text{ cm}^2$

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ISEE Upper Level Math : How to find the area of a circle

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #190 : Geometry

Example Question #21 : How To Find The Area Of A Circle

Example Question #22 : How To Find The Area Of A Circle

All ISEE Upper Level Math Resources

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