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?

Accepted Answer

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

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