Area/Solids
Circles
Conics
Trigonometry
Random
100
120π square inches
Given a cylinder that has a base diameter of 10 inches and a height of 12 inches: Find the lateral area, with units, of the cylinder. Leave your answer in terms of Pi.
100
Chords: Segment DE, Segment CB Diameter: Segment FC Radius: Segment AB, Segment AF, Segment AC Central Angle:
Identify a chord, diameter, radius, and central angle of Circle A.
100
Vertex: (-3.-2) Focus: (-3,-4) Directrix: y=0
Find the vertex, focus, and directrix of the parabola, and graph: x^2+6x+8y+25=0
100
m=4
Find m using the geometric mean.
100
h=4in.
The area of a trapezoid is 52 square inches and the bases are 11 inches and 15 inches. Find the height.
200
160π cubic meters
Find the volume of a cylinder, with units, that has a diameter of 8 meters and a height of 10 meters. Leave your answer in terms of Pi.
200
Tangent: AB Secant: CD A tangent only intersects a circle at once point, and a secant intersects it at two points.
Identify the tangent and secant, and list their differences.
200
y^2 - x^2=1 ____ ____ 9 25
Write the standard form equation of a hyperbola with the given information: Vertices: (3,3) & (3,-3) Foci: (3,-6) & (3,6).
200
x=3/2
All of the triangles are 45-45-90 triangles. Find x.
200
24 √3 square centimeters
A regular hexagon has an apothem with a measure of 4 centimeters. Find the area of the polygon. Leave your answer in simplest radical form.
300
144-36π square centimeters
Given a square with an inscribed circle within the circle. It has a radius of 6cm: Find the area, with units, between the square and the circle. Leave your answer in terms of Pi.
300
C=56.2 cm. squared A=248.85 cm. squared
The right triangle shown is inscribed inside of Circle C. Find the circumference and area of the circle.
300
x^2 + y^2=1 ____ ____ 48 64
Find an equation of the ellipse with the following conditions. Vertices: (0,±8); Foci: (0,±4).
300
About 119 meters away.
When Ali and Carleigh are at the topmost point on the Ferris Wheel, how far are they from Andrew? Round to the nearest meter.
300
<-3,-6>
Write the component form of the vector.
400
x=7
Solid 1 is similar to Solid 2. Find the value of x. (Look at diagram on board) Given: SA of Solid 1=642 square inches; SA of Solid 2=156 square inches.
400
AB=98.3 feet
The curved road is part of Circle C, which has a radius of 88ft. What is AB? Round the the nearest tenth.
400
Center: (-2,-3) Vertices: (-2,0) (-2,-6) Co-vertices: (0,-3) (-4,-3) Foci: (-2,-3± √5)
Find the center, vertices, co-vertices, and foci of the ellipse, then graph. 9x^2+4y^2+36x-24y+36=0
400
x~5.4
Find x. Round to the nearest tenth.
400
m
Find the measure of <B.
500
Perimeter~47.02 yards Area~152.17 square yards.
A regular pentagon with a circumscribed circle has a radius of 8 yards. Find the perimeter and area of the pentagon.
500
Center=(4,-1) Radius: 3 units
The equation of a circle is x^2+y^2-8x+2y=-8. Identify the center and radius of the circle, and graph it.
500
Equation: (x+1)^2 - (y+3)^2=1 _____ _____ 9 1 Vertices: (-4,-3) (2,-3) Foci: (-1± √10,-3) Center: (-1,-3) Asymptotes: y+3=±1/3(x+1)
Find the center, vertices, foci, and the equation for the asymptotes of the hyperbola, and then graph. x^2-9y^2+2x-54y-89=0
500
x~17 feet
Andrew’s cat Carleigh got stuck in a tree. Ali is trying to help Andrew get her down. Andrew is standing 6 feet in front of Ali under the tree. If the angle of elevation from Ali to Carleigh is 40° and from Andrew to Carleigh is 50°, how high is Carleigh? Round to the nearest foot.
500
x~7.2, y~30.2
***DAILY DOUBLE*** Find x and y using the Law of Sines and the Law of Cosines. Round to the nearest tenth.
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