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ISEE Upper Level Math : Radius

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All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #12 : How To Find Circumference

Let $\pi = 3.14$

Find the circumference of a circle with a radius of 8in.

Possible Answers:

$25.12\text{in}$

$50.24\text{in}$

$56.52\text{in}$

$200.96\text{in}$

$43.96\text{in}$

Correct answer:

$50.24\text{in}$

Explanation:

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

$C = 2\pi r$

where r is the radius of the circle.

Now, we know the radius of the circle is 8in.

We also know that $\pi = 3.14$ .

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

$C = 2 \cdot 3.14 \cdot 8\text{in}$

$C = 16\text{in} \cdot 3.14$

$C = 50.24\text{in}$

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Example Question #13 : How To Find Circumference

You want to ice skate around the outer edge of a circular pond (the water is frozen, because it is January and you live in Wisconsin). If the pond has a radius of 35 meters, how far will you skate in one lap around the pond?

Possible Answers:

450 m

$70 \pi m$

$1,225 \pi m$

Not enough information to complete.

Correct answer:

$70 \pi m$

Explanation:

Let's begin by realizing what we are being asked for. They want us to find the total distance we will travel in one lap around the pond. This sounds like circumference, because we are going one full distance around the outside of the circle.

The formula for circumference is as follows.

$C=2 \pi r$

Now, we have r, so just plug in and solve.

$C=2 \pi (35m)=2*35 m \pi=70 \pi m$

So, our answer is:

$70 \pi m$

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Example Question #14 : How To Find Circumference

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

Possible Answers:

$5.05 \pi m$

$2.25 \pi m$

$3.0 \pi m$

$4.25 \pi m$

Correct answer:

$3.0 \pi m$

Explanation:

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

The formula for circumference of a circle is:

$C= 2 \pi r$

We have r, so simply plug it in and solve:

$C=2 \pi (1.5m)=3 \pi m$

So, our answer is $3 \pi m$

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Example Question #15 : How To Find Circumference

Find the circumference of a circle with a diameter of 18cm.

Possible Answers:

$18\pi \text{ cm}$

$52\pi \text{ cm}$

$36\pi \text{ cm}$

$9\pi \text{ cm}$

$24\pi \text{ cm}$

Correct answer:

$18\pi \text{ cm}$

Explanation:

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

$C = \pi d$

where d is the diameter of the circle.

Now, we know the diameter of the circle is 18cm. So, we will substitute. We get

$C = \pi \cdot 18\text{cm}$

$C = 18\pi \text{ cm}$

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Example Question #16 : How To Find Circumference

Find the circumference of a circle with a radius of 10in.

Possible Answers:

$20\pi \text{ in}$

$25\pi \text{ in}$

$100\pi \text{ in}$

$50\pi \text{ in}$

$75\pi \text{ in}$

Correct answer:

$20\pi \text{ in}$

Explanation:

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

$C = 2\pi r$

where r is the radius of the circle.

Now, we know the radius of the circle is 10in.

So, we get

$C = 2 \cdot \pi \cdot 10\text{in}$

$C = 20\text{in} \cdot \pi$

$C = 20\pi \text{ in}$

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Example Question #17 : How To Find Circumference

You are exploring the woods near your house, when you come across an impact crater. It is perfectly circular, and you estimate its area to be $169 \pi m^2$ .

What is the circumference of the crater?

Possible Answers:

26m

26 m^2

39 m

$26 \pi m$

Correct answer:

$26 \pi m$

Explanation:

You are exploring the woods near your house, when you come across an impact crater. It is perfectly circular, and you estimate its area to be $169 \pi m^2$ .

What is the circumference of the crater?

To solve this, we need to recall the formula for the area of a circle.

$A=\pi r^2$

Now, we know A, so we just need to plug in and solve for r!

$169 \pi m^2=\pi r ^2$

Begin by dividing out the pi

169m^2=r^2

Then, square root both sides.

$r=\sqrt{169m^2}=13m$

Next, plug our answer into the circumference formula.

$C=2 \pi r = 2 (13m) \pi =26 \pi m$

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ISEE Upper Level Math : Radius

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #12 : How To Find Circumference

Example Question #13 : How To Find Circumference

Example Question #14 : How To Find Circumference

Example Question #15 : How To Find Circumference

Example Question #16 : How To Find Circumference

Example Question #17 : How To Find Circumference

All ISEE Upper Level Math Resources

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