The angle subtended by an arc is \(24^\circ\). If the radius of the circle is \(45\) cm, find the length of arc.
A16.85 cm
B17.85 cm
C18.85 cm
D19.85 cm
Mathematics · Question Bank
Analytic Geometry
128 of 233 questions match · page 1 of 7. Answer in your head first, then check the solution.
Each angle of a regular dodecagon is equal to
A\(135^\circ\)
B\(150^\circ\)
C\(125^\circ\)
D\(105^\circ\)
How many sides has a polygon if the sum of the interior angles is \(1080^\circ\)?
A5
B6
C7
D8
The sum of the interior angles of a polygon is \(540^\circ\). Find the number of sides.
A3
B4
C5
D6
How many sides are in a polygon if each interior angle is \(165\) degrees?
A12
B24
C20
D48
How many diagonals are there in a polygon of \(20\) sides?
A200
B170
C100
D158
Find each interior angle of a hexagon.
A\(90^\circ\)
B\(120^\circ\)
C\(150^\circ\)
D\(180^\circ\)
The area of a circle is \(89.42\) sq. inches. What is its circumference?
A32.25 in.
B33.52 in.
C35.33 in.
D35.55 in.
The angle of a sector is \(30^\circ\) and the radius is \(15\) cm. What is the area of the sector in cm\(^2\)?
A59.8
B89.5
C58.9
D85.9
The arc of a sector is \(9\) units and its radius is \(3\) units. What is the area of the sector in square units?
A12.5
B13.5
C14.5
D15.5
A rhombus has diagonals of \(32\) and \(20\) inches. Determine its area.
A\(360 \text{ in}^2\)
B\(280 \text{ in}^2\)
C\(320 \text{ in}^2\)
D\(400 \text{ in}^2\)
What conic section is 2x² - 8xy + 4x = 12?
AParabola
BEllipse
CHyperbola
DCircle
What conic section is described by the equation r = 6 / (4 – 3cosӨ)?
ACircle
BEllipse
CHyperbola
DParabola
If the second-degree equation Ax² + Bxy + Cy² +Dx + Ey + F = 0 represents a real conic and B² – 4AC is positive, then it is
Aellipse
Bcircle
Cparabola
Dhyperbola
If the slopes of two lines are equal and their y-intercepts are different, then the lines are
Aintersecting
Bparallel
Ccoincident
Dperpendicular
A line with inclination between 0° and 90° has
Azero slope
Bno slope
Cpositive slope
Dnegative slope
The parabola x² – 4x + 2y – 6 = 0 opens
Adownward
Bupward
Cto the right
Dto the left
The locus of a point on a circle which rolls without slipping on a straight line is called
Astrophoid
Btrochoid
Castroid
Dcycloid
If b² – 4ac < 0, then the graph of y = ax² + bx + c
Acrosses the x-axis once
Bcrosses the x-axis twice
Cdoes not cross the x-axis
Dtouches the x-axis once
The slope of a vertical line is
Azero
Bone
C90°
Dundefined