Question 1

Which of the following statements about square roots is correct?

Accepted Answer

$\sqrt{16} = 4$

Question 2

If two triangles have the same shape, angles, and proportions, but not necessarily the same size, they are:

Accepted Answer

Similar

Question 3

What is the area of a circle with a radius of $5$ units?

Accepted Answer

$A = 25\pi$

Question 4

A small circle of radius $3$ is placed inside a larger circle of radius $5$. What is the area of the region between the two circles?

Accepted Answer

$25\pi - 9\pi = 16\pi$

Question 5

What is the circumference of a circle with a diameter of $12$ units?

Accepted Answer

$C = 12\pi$

Question 6

The area of a $90^{\circ}$ sector of a circle with radius $r$ is:

Accepted Answer

$A = \frac{1}{4}\pi r^2$

Question 7

If the radius of a circle is $4$, what is the length of an arc corresponding to a $60^{\circ}$ central angle?

Accepted Answer

$\frac{8\pi}{3}$

Question 8

What is the equation of a circle with center $(2, -3)$ and radius $5$?

Accepted Answer

$(x-2)^2 + (y+3)^2 = 25$

Question 9

What is the area and perimeter of a rectangle with length $8$ and width $3$?

Accepted Answer

$A = 24,\ P = 22$

Question 10

A right triangle has legs of length $6$ and $8$. What is the length of the hypotenuse?

Accepted Answer

$10$

Question 11

What is the surface area of a sphere with radius $7$?

Accepted Answer

$196\pi$

Question 12

Which of the following is the formula for the volume of a cylinder with radius $r$ and height $h$?

Accepted Answer

$V = \pi r^2 h$

Question 13

A rectangular prism has dimensions $3$ (length), $4$ (width), and $5$ (height). What is its volume?

Accepted Answer

$60$

Question 14

Which of the following best describes congruent shapes?

Accepted Answer

Same shape, angles, proportions, and size

Question 15

What is the perimeter of a square with side length $9$?

Accepted Answer

$36$

Question 16

If the circumference of a circle is $18\pi$, what is its radius?

Accepted Answer

$9$

Question 17

Which of the following is the formula for the area of a triangle with base $b$ and height $h$?

Accepted Answer

$A = \frac{1}{2}bh$

Question 18

What is the lateral surface area of a cylinder with radius $r$ and height $h$?

Accepted Answer

$2\pi r h$

Question 19

Which of the following is NOT a property of similar shapes?

Accepted Answer

Same size

Question 20

A square and an equilateral triangle have the same perimeter. If the side of the square is $6$, what is the side length of the triangle?

Geometry Essentials for College Algebra: Circles, Triangles, and Solids

Study Guide - Practice Questions