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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Find The Circumference Of A Circle In Pre Algebra

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

Possible Answers:

$C=32\pi$

$C=16\pi$

$C=64\pi$

$C=24\pi$

Correct answer:

$C=32\pi$

Explanation:

To find the circumference of a circle given the radius, we must first know the equation for the circumference of a circle which is

We then plug in for the radius into the equation yielding

$C=2(\pi)(16)$

We multiply to find the value for the circumference is

$C=32\pi$

The answer is $C=32\pi$ .

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Example Question #12 : How To Find The Circumference Of A Circle In Pre Algebra

Find the circumference of a circle with a diameter of 4 meters.

Possible Answers:

$8 \pi$ meters

$2 \pi$ meters

$16 \pi$ meters

$\pi$ meters

$4\pi$ meters

Correct answer:

$4\pi$ meters

Explanation:

The formula for circumference is:

$C = 2\pi r$ where is the radius of our circle

In this case, we were given the diameter of meters. Thus, we know that the radius is meters (since the diameter is twice the radius). Plugging this into the formula, we have:

$C = 2 \pi \cdot 2 = 4 \pi$ meters.

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Example Question #13 : How To Find The Circumference Of A Circle In Pre Algebra

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

Possible Answers:

$7.5\pi$

$6.25\pi$

$10\pi$

$25\pi$

$5\pi$

Correct answer:

$10\pi$

Explanation:

The formula for the circumference of a circle is $C=2\pi r$ .

Plug in our given values and solve.

$C=2\pi r$

$C=2\pi (5)$

$C=10\pi$

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Example Question #671 : High School Math

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

Possible Answers:

$26\pi$

$39\pi$

$13\pi$

$169\pi$

Correct answer:

$26\pi$

Explanation:

To find the circumference of a circle, use the equation:

$Circumference=2\pi\cdot Radius$

Substitute the given value for the radius into the equation:

$Circumference=2\pi\cdot13$

$Circumference=26\pi$

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Example Question #672 : High School Math

An ant is standing at the center of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?

Possible Answers:

$6\pi$

$12\pi$

$24\pi$

$3\pi$

$36\pi$

Correct answer:

$12\pi$

Explanation:

We need to find the circumference:

$\text{circumference of a circle} = 2\pi r = d\pi$

In this formula stands for the radius and stands for the diameter.

The distance the ant must crawl to the edge from the center is the radius of the circle.

Plug in 6 inches for :

$\text{circumference of a circle} = 2\pi r = 2*\pi*6 = 12\pi$

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Example Question #673 : High School Math

If a circle has a radius of meters, what is its circumference?

Possible Answers:

$2\pi\ m$

$4\pi\ m$

$32\pi\ m$

$8\pi\ m$

$16\pi\ m$

Correct answer:

$8\pi\ m$

Explanation:

The formula for the circumference of a circle is ${\pi}d$ , where is the diameter. This can also be written as $2{\pi}r$ , where is the radius of the circle. We were given the radius, so we take the second formula and plug in for .

$2{\pi}r = 2{\pi}(4) = 8{\pi}\ \textup{meters}=8\pi\ m$

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Example Question #674 : High School Math

This figure is a rhombus with a side of 8 in. Rhombus

What is the area of the rhombus (in²)?

Possible Answers:

Not enough information

Correct answer:

Not enough information

Explanation:

In order to determine the area of a rhombus you either need a base and a height OR the length of the two diagonals OR the base and an angle. Because we are only given the base with no information about the height, there is not enough information to determine the area of the rhombus.

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Example Question #2 : How To Find The Area Of A Rhombus

Find the area of the following rhombus:

Screen_shot_2014-03-01_at_8.57.04_pm

The perimeter of the rhombus is 52m .

Possible Answers:

129m^2

120m^2

135m^2

100m^2

144m^2

Correct answer:

120m^2

Explanation:

The formula for the perimeter of a rhombus is:

P = 4 (s)

Where is the length of the side

Plugging in our values, we get:

52m = 4 (s)

s = 13m

The formula for the area of a rhombus is:

$A = \frac{1}{2} (d_1)(d_2)$

Where d_1 is the length of one diagonal and d_2 is the length of another diagonal

By drawing the diagonals, we create a right triangle with the hypotenuse as 13m and the side as 12m .

Since we know that 5-12-13 is a phythagorean triple, we can infer that the third side is .

Plugging in our values, we get:

$A = \frac{1}{2}(24m)(10m) = 120m^2$

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Example Question #675 : High School Math

This figure is a rhombus with a side of 8 in. Rhombus

What is the perimeter of the rhombus (in)?

Possible Answers:

Correct answer:

Explanation:

The perimeter of the rhombus is the distance around the outside of the figure. Since a rhombus has 4 congruent sides, the perimeter is simply $4\cdot8=32$ .

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Example Question #5 : Rhombuses

You are given a rhombus with a side of meters. What is the perimeter of the rhombus?

Possible Answers:

meters

Correct answer:

meters

Explanation:

A rhombus is a quadrilateral ( sided figure) with congruent sides. The perimeter is the sum of the sides. Thus, to find the perimeter of the rhombus, we multiply the perimeter by . This gives us meters.

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #11 : How To Find The Circumference Of A Circle In Pre Algebra

Example Question #12 : How To Find The Circumference Of A Circle In Pre Algebra

Example Question #13 : How To Find The Circumference Of A Circle In Pre Algebra

Example Question #671 : High School Math

Example Question #672 : High School Math

Example Question #673 : High School Math

Example Question #674 : High School Math

Example Question #2 : How To Find The Area Of A Rhombus

Example Question #675 : High School Math

Example Question #5 : Rhombuses

All High School Math Resources

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