SAT II Math II : Geometry
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Example Questions
Example Question #31 : Geometry
If the side length of a rectangle is 6 inches, what is the perimeter?
A square can be a rectangle, but a rectangle cannot be a square. We cannot assume that the width is known given just the length of the rectangle. There is not enough information to determine the perimeter just by the side length alone.
The answer is:
Example Question #331 : Sat Subject Test In Math Ii
The image represents a track is a regular hexagon with perimeter one half of a mile.
Selena starts at Point A and runs clockwise to Point D. She then runs directly from Point D to Point A. How far does she run?
The perimeter of the hexagonal track is one half of a mile. One mile is equal to 5,280 feet, so one half of a mile is equal to
Each of the six congruent sides measures one sixth of this, or
The hexagonal track is recreated below, with its six radii constructed - the center is called 
The radii divide the hexagon into six equilateral triangles, so each of the radii has length equal to one side of the hexagon. Selena's path takes her along 
Example Question #2 : Perimeter
What is the perimeter of a square if the area is 
Determine the length of the square by using the given area.
Substitute the area.
There are four congruent sides in a square, which means the perimeter is four times the side.
The answer is:
Example Question #1 : Perimeter
What is the perimeter of a right triangle with a base of 6, and a height of 8?
Use the Pythagorean Theorem to determine the hypotenuse.
Substitute the base and height.
Square root both sides to find the hypotenuse.
Add the sides to determine the perimeter.
The answer is:
Example Question #31 : 2 Dimensional Geometry
If a particle accelerator has a circumference of 
If a particle accelerator has a circumference of 
Begin with the formula for the circumference of a circle:
Now, we know the circumference, so just plug in and solve for r.
Divide both sides by 2 pi to get out answer:
Example Question #1 : Diameter, Radius, And Circumference
If a particle accelerator has a circumference of 
If a particle accelerator has a circumference of 
Begin with the formula for circumference of a circle:
Now, we can see that 2r is really the same as d, right? Our radius will always be half the length of the diameter.
So, we can rewrite the above equation as:
Now, plug in our circumference and solve for d:
Divide both sides by pi to get:
So our answer is 18.5 miles
Example Question #1 : Diameter, Radius, And Circumference
If the circumference of a circle is 
Write the circumference formula for the circle.
Substitute the circumference into the equation.
Divide by 
The diameter is twice the radius.
The answer is:
Example Question #34 : 2 Dimensional Geometry
What is the circumference of a circle with a diameter of 
Write the formula for the circumference of a circle.
Substitute the diameter into the equation.
The answer is:
Example Question #2 : Diameter, Radius, And Circumference
What is the diameter of the circle with a radius of 
The diameter of a circle is twice the radius.
Substitute the radius.
The answer is:
Example Question #3 : Diameter, Radius, And Circumference
Determine the radius if the circumference of a circle is 
Write the formula for the circumference of a circle.
Substitute the circumference.
Divide by 
Reduce both sides.
The answer is:
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