ACT Questions: Plane Geometry

Videos, examples, solutions, activities and worksheets to help ACT students review some plane geometry questions.

Plane Geometry
Examples:
What is the area, in square inches, of triangle ABC below?
A. 10
B. 12
C. 14
D. 28
E. 48

The radius of a right circular cone is doubled and its height is tripled to form a new right circular cone. What is the ratio of the volume of the original cone to the volume of the new cone?
(Note V_cone = 1/3πr²h for radius r and height h)
F. 1:6
G. 1:12
H. 1:18
J. 1:36
K. 1:216

Through how many degrees does a wheel rotate in 1.5 minutes at 45 revolutions per minute?
A. 24,300
B. 16,200
C. 12,150
D. 8,100
E. 4,050

ACT Math Test: Plane Geometry Problem
Here’s a Plane Geometry problem similar to problems from past ACT tests.
Try to work it in one minute or less
Examples:
A square has area 25 cm². The side of this square is equal to the diameter of the circle, as shown. What is the circumference of the circle, to the nearest centimeter?
F. 14
G. 15
H. 16
J. 20
K. 31

Perimeter word problem {ACT - Plane Geometry}
A word problem involving perimeter of a square and equilateral triangle.
Example:
The figure below is composed of square BCDE and equilateral triangle ABE. The length of CD is 6 inches. What is the perimeter of ABCDE, in inches?
A. 18
B. 24
C. 30
D. 42
E. 45

Missing exterior angles {ACT - Plane Geometry}
A word problem involving perimeter of finding exterior angles of a triangle.
Example:
Given the triangle shown below with exterior angles that measure x°, y°, and z° as shown, what is the sum of x,y, and z?
F. 180
G. 231
H. 309
J. 360
K. Cannot be determined from the given information.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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