MATH 1022 Test 1 Exam | College Algebra Fundamentals & Practice Questions
Which of the following statements is not true? Choose the correct answer below.
A. If θ is the central angle of a sector of a circle in radians, then the sector represents a portion of the
circle equal to θ/2π of the entire circle.
B. If the central angle of a sector of a circle is θ=π/4, then the area of the sector of the circle must be 1/8
of the area of the entire circle.
C. The area of a sector of a circle if given by the equation A=1/2θr^2, where θ is an angle given in
degrees.
D. The expression θ/2π(πr^2), where θ is expressed in radians, describes the area of a sector of a circle. -
(ANSWER)C. The area of a sector of a circle if given by the equation A=1/2θr^2, where θ is an angle
given in degrees.
Which of the following statements is not true? Choose the correct answer below.
A. The expression θ/2π(2πr) describes the arc length of a sector of a circle.
B. The variable s is used to describe the arc length of a sector of a circle.
C. The arc length of a sector of a circle is a portion of the circumference of the circle.
D. If the central angle of a sector of a circle is θ=5 degrees and the redius of the circle is r=2 cm, then the
arc length of the sector of the circle is 10 cm. - (ANSWER)D. If the central angle of a sector of a circle is
θ=5 degrees and the redius of the circle is r=2 cm, then the arc length of the sector of the circle is 10 cm.
Which of the following statements best describes an angle that is in standard point?
A. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the positive x-axis.
B. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the negative x-axis.
C. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the negative x-axis.
D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the positive y-axis. - (ANSWER)A. An angle is in standard position if the vertex is
at the origin of a rectangular coordinate system and the initial side lies along the positive x-axis.
Which of the following statements best describes two coterminal angles?
, MATH 1022 Test 1 Exam | College Algebra Fundamentals & Practice Questions
A. Two angles in standard position are coterminal if they have the same terminal side.
B. Two angles in standard position are coterminal if the terminal sides of both angles lie in the same
quadrant.
C. Two angles in standard position are coterminal if they have the same initial side.
D. Two angles in standard position are coterminal if they both have the same amount of rotation. -
(ANSWER)A. Two angles in standard position are coterminal if they have the same terminal side.
Which of the following statements is not true concerning radian measure?
A. An angle in standard position having radian measure of θ = -5π/3 has a terminal side that lies in
Quadrant I.
B. One radian is approximately 57.3 degrees.
C. One radian is the measure of a central angle that has an intercepted arc equal in length to the radius
of the circle.
D. An angle in standard position having a radian measure of θ = -11π/6 has a terminal side that lies in
Quadrant IV. - (ANSWER)D. An angle in standard position having a radian measure of θ = -11π/6 has a
terminal side that lies in Quadrant IV.
Which of the following statements is not true concerning angle measure?
A. The angle in standard position formed by rotating the terminal side of an angle one complete
counterclockwise rotation has a radian measure of π radians.
B. The angle in standard position formed by rotating the terminal side of an angle one complete
counterclockwise rotation has a measure of 360 degrees.
C. If an angle has positive measure, then the direction of its rotation is counterclockwise.
D. If an angle has negative measure, then the direction of its rotation is clockwise. - (ANSWER)A. The
angle in standard position formed by rotating the terminal side of an angle one complete
counterclockwise rotation has a radian measure of π radians.
Which of the following statements is true concerning the conversion between degree and radian
measure?
A. To convert from radians to degrees, multiply by 180 degrees and divide by π.
B. To convert from radians to degrees, multiply by π and divide by 180 degrees.
Which of the following statements is not true? Choose the correct answer below.
A. If θ is the central angle of a sector of a circle in radians, then the sector represents a portion of the
circle equal to θ/2π of the entire circle.
B. If the central angle of a sector of a circle is θ=π/4, then the area of the sector of the circle must be 1/8
of the area of the entire circle.
C. The area of a sector of a circle if given by the equation A=1/2θr^2, where θ is an angle given in
degrees.
D. The expression θ/2π(πr^2), where θ is expressed in radians, describes the area of a sector of a circle. -
(ANSWER)C. The area of a sector of a circle if given by the equation A=1/2θr^2, where θ is an angle
given in degrees.
Which of the following statements is not true? Choose the correct answer below.
A. The expression θ/2π(2πr) describes the arc length of a sector of a circle.
B. The variable s is used to describe the arc length of a sector of a circle.
C. The arc length of a sector of a circle is a portion of the circumference of the circle.
D. If the central angle of a sector of a circle is θ=5 degrees and the redius of the circle is r=2 cm, then the
arc length of the sector of the circle is 10 cm. - (ANSWER)D. If the central angle of a sector of a circle is
θ=5 degrees and the redius of the circle is r=2 cm, then the arc length of the sector of the circle is 10 cm.
Which of the following statements best describes an angle that is in standard point?
A. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the positive x-axis.
B. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the negative x-axis.
C. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the negative x-axis.
D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and
the initial side lies along the positive y-axis. - (ANSWER)A. An angle is in standard position if the vertex is
at the origin of a rectangular coordinate system and the initial side lies along the positive x-axis.
Which of the following statements best describes two coterminal angles?
, MATH 1022 Test 1 Exam | College Algebra Fundamentals & Practice Questions
A. Two angles in standard position are coterminal if they have the same terminal side.
B. Two angles in standard position are coterminal if the terminal sides of both angles lie in the same
quadrant.
C. Two angles in standard position are coterminal if they have the same initial side.
D. Two angles in standard position are coterminal if they both have the same amount of rotation. -
(ANSWER)A. Two angles in standard position are coterminal if they have the same terminal side.
Which of the following statements is not true concerning radian measure?
A. An angle in standard position having radian measure of θ = -5π/3 has a terminal side that lies in
Quadrant I.
B. One radian is approximately 57.3 degrees.
C. One radian is the measure of a central angle that has an intercepted arc equal in length to the radius
of the circle.
D. An angle in standard position having a radian measure of θ = -11π/6 has a terminal side that lies in
Quadrant IV. - (ANSWER)D. An angle in standard position having a radian measure of θ = -11π/6 has a
terminal side that lies in Quadrant IV.
Which of the following statements is not true concerning angle measure?
A. The angle in standard position formed by rotating the terminal side of an angle one complete
counterclockwise rotation has a radian measure of π radians.
B. The angle in standard position formed by rotating the terminal side of an angle one complete
counterclockwise rotation has a measure of 360 degrees.
C. If an angle has positive measure, then the direction of its rotation is counterclockwise.
D. If an angle has negative measure, then the direction of its rotation is clockwise. - (ANSWER)A. The
angle in standard position formed by rotating the terminal side of an angle one complete
counterclockwise rotation has a radian measure of π radians.
Which of the following statements is true concerning the conversion between degree and radian
measure?
A. To convert from radians to degrees, multiply by 180 degrees and divide by π.
B. To convert from radians to degrees, multiply by π and divide by 180 degrees.
