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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

Example Question #21 : Radius

Find the area of a circle with a radius of 6in.

Possible Answers:

$42\pi \text{ in}^2$

$18\pi \text{ in}^2$

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

$24\pi \text{ in}^2$

$12\pi \text{ in}^2$

Correct answer:

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

Explanation:

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

$A = \pi \cdot r^2$

Now, we know the radius of the circle is 6in.

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

$A = \pi \cdot (6\text{in})^2$

$A = \pi \cdot 36\text{in}^2$

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

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Example Question #22 : Radius

Find the area of a circle with a diameter of 10in.

Possible Answers:

$25\pi \text{ in}^2$

$10\pi \text{ in}^2$

$75\pi \text{ in}^2$

$100\pi \text{ in}^2$

$50\pi \text{ in}^2$

Correct answer:

$25\pi \text{ in}^2$

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 10in. We also know the diameter is two times the radius. Therefore, the radius is 5in.

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

$A = \pi \cdot (5\text{in})^2$

$A = \pi \cdot 25\text{in}^2$

$A = 25\pi \text{ in}^2$

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Example Question #23 : Radius

Find the area of a circle with a diameter of 14cm.

Possible Answers:

$63\pi \text{ cm}^2$

$196\pi \text{ cm}^2$

$21\pi \text{ cm}^2$

$49\pi \text{ cm}^2$

$56\pi \text{ cm}^2$

Correct answer:

$49\pi \text{ cm}^2$

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 14cm. We also know the diameter is two times the radius. Therefore, the radius is 7cm.

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

$A = \pi \cdot (7\text{cm})^2$

$A = \pi \cdot 49\text{cm}^2$

$A = 49\pi \text{ cm}^2$

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Example Question #24 : Radius

You have a tomato plant growing in a pot. If the base of the pot has a radius of 6 inches, find the area of the footprint of the pot.

Possible Answers:

36 in^2

120 in ^2

$36 \pi in^2$

$12 \pi in^2$

Correct answer:

$36 \pi in^2$

Explanation:

You have a tomato plant growing in a pot. If the base of the pot has a radius of 6 inches, find the area of the footprint of the pot.

To solve this problem, first recall the formula for area of a circle.

$A=\pi r ^2$

Now, we know our r=6 inches, so we just need to plug in and simplify.

$A=\pi (6in) ^2=36 \pi in^2$

So, our answer is:

$36 \pi in^2$

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Example Question #25 : Radius

Let $\pi = 3.14$ .

Find the area of a circle with a diameter of 14cm. If necessary, round to the nearest tenths.

Possible Answers:

$150.7\text{cm}^2$

$153.9\text{cm}^2$

$113.1\text{cm}^2$

$153.8\text{cm}^2$

$201.0\text{cm}^2$

Correct answer:

$153.9\text{cm}^2$

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 14cm. We also know that the diameter is two times the radius. Therefore, the radius is 7cm.

We also know $\pi = 3.14$ .

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

$A = 3.14 \cdot (7\text{cm})^2$

$A = 3.14 \cdot 49\text{cm}^2$

$A = 153.86\text{cm}^2$

We were asked to round to the nearest tenth. So, we get

$A = 153.9\text{cm}^2$

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Example Question #26 : Radius

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

Possible Answers:

$187\pi \text{ in}^2$

$256\pi \text{ in}^2$

$89\pi \text{ in}^2$

$32\pi \text{ in}^2$

$121\pi \text{ in}^2$

Correct answer:

$256\pi \text{ in}^2$

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 radius is 16in. Knowing this, we can substitute into the formula. We get

$A = \pi \cdot (16\text{in})^2$

$A = \pi \cdot 256\text{in}^2$

$A = 256\pi \text{ in}^2$

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

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:

$A=4.50\pi m^2$

$A=2.25\pi m^2$

$A=3\pi m^2$

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 #191 : Plane Geometry

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

Possible Answers:

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

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

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

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

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

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 #21 : Radius

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

Possible Answers:

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

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

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

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

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

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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Example Question #1 : Circumference Of A Circle

What is the circumference of a circle with a radius equal to ?

Possible Answers:

$7\pi$

$49\pi$

$14\pi$

$196\pi$

Correct answer:

$14\pi$

Explanation:

The circumference can be solved using the following equation:

$C=2r\pi=2(7)\pi=14\pi$

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All ISEE Upper Level Math Resources

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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 #21 : Radius

Example Question #22 : Radius

Example Question #23 : Radius

Example Question #24 : Radius

Example Question #25 : Radius

Example Question #26 : Radius

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

Example Question #191 : Plane Geometry

Example Question #21 : Radius

Example Question #1 : Circumference Of A Circle

All ISEE Upper Level Math Resources

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