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Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

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All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #211 : Circles

Find the circumference of a circle with a radius of .

Possible Answers:

$30\pi$

$175\pi$

$45\pi$

$15\pi$

Correct answer:

$30\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 15 \times\pi$

Solve.

$\text{Circumference}=30 \times\pi$

Simplify.

$\text{Circumference}=30\pi$

Report an Error

Example Question #141 : Geometry

Find the circumference of a circle with a radius of .

Possible Answers:

$14\pi$

$7\pi$

$28\pi$

$42\pi$

Correct answer:

$28\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 14 \times\pi$

Solve.

$\text{Circumference}=28 \times\pi$

Simplify.

$\text{Circumference}=28\pi$

Report an Error

Example Question #213 : Circles

Find the circumference of a circle with a radius of .

Possible Answers:

$27\pi$

$210\pi$

$51\pi$

$102\pi$

Correct answer:

$102\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 51 \times\pi$

Solve.

$\text{Circumference}=102 \times\pi$

Simplify.

$\text{Circumference}=102\pi$

Report an Error

Example Question #211 : Radius

Find the circumference of a circle with a radius of 102.

Possible Answers:

$51\pi$

$204\pi$

$102\pi$

$192\pi$

Correct answer:

$204\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 102 \times\pi$

Solve.

$\text{Circumference}=204\times\pi$

Simplify.

$\text{Circumference}=204\pi$

Report an Error

Example Question #212 : Plane Geometry

Find the circumference of a circle with a radius of 1.5 .

Possible Answers:

$3\pi$

$1.5\pi$

$4.5\pi$

$6\pi$

Correct answer:

$3\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 1.5 \times\pi$

Solve.

$\text{Circumference}=3\times\pi$

Simplify.

$\text{Circumference}=3\pi$

Report an Error

Example Question #213 : Plane Geometry

Find the circumference of a circle with a radius of .

Possible Answers:

$45\pi$

$120\pi$

$90\pi$

$180\pi$

Correct answer:

$180\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 90 \times\pi$

Solve.

$\text{Circumference}=180 \times\pi$

Simplify.

$\text{Circumference}=180\pi$

Report an Error

Example Question #211 : Plane Geometry

What is the circumference of a circle whose radius is .

Possible Answers:

$25\pi$

$10\pi$

$15\pi$

$5\pi$

Correct answer:

$10\pi$

Explanation:

To find circumference, you must use the follow equation.

$C=2\pi{r}=2\pi(5)=10\pi$

Report an Error

Example Question #212 : Plane Geometry

Find the circumference of a circle that is inscribed in a square with side lengths of .

Possible Answers:

$\pi$

$4\pi$

$2\pi$

$8\pi$

Correct answer:

$2\pi$

Explanation:

Notice that when a circle is inscribed in a square, the side length of the square is also the diameter of the circle.

Recall how to find the circumference of a circle:

$\text{Circumference}=\text{Diameter}\times\pi$

Plug in the given diameter to find the circumference.

$\text{Circumference}=2\pi$

Report an Error

Example Question #216 : Plane Geometry

Find the circumference of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$\frac{3\pi}{2}$

$6\pi$

$3\pi$

$\frac{9\pi}{4}$

Correct answer:

$3\pi$

Explanation:

Notice that when a circle is inscribed in a square, the side length of the square is also the diameter of the circle.

Recall how to find the circumference of a circle:

$\text{Circumference}=\text{Diameter}\times\pi$

Plug in the given diameter to find the circumference.

$\text{Circumference}=3\pi$

Report an Error

Example Question #217 : Plane Geometry

Find the circumference of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$16\pi$

$4\pi$

$2\pi$

$8\pi$

Correct answer:

$4\pi$

Explanation:

Notice that when a circle is inscribed in a square, the side length of the square is also the diameter of the circle.

Recall how to find the circumference of a circle:

$\text{Circumference}=\text{Diameter}\times\pi$

Plug in the given diameter to find the circumference.

$\text{Circumference}=4\pi$

Report an Error

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Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #211 : Circles

Example Question #141 : Geometry

Example Question #213 : Circles

Example Question #211 : Radius

Example Question #212 : Plane Geometry

Example Question #213 : Plane Geometry

Example Question #211 : Plane Geometry

Example Question #212 : Plane Geometry

Example Question #216 : Plane Geometry

Example Question #217 : Plane Geometry

All Basic Geometry Resources

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