Example Questions
Example Question #1 :Geometry
Find the perimeter of a square with the following side length:
Perimeters can be calculated by adding together the side lengths of a polygon. A square has four sides that are all the same length, therefore, we can write the following formula to solve for the perimeter.
We can rewrite this equation as the following:
In these equations the variable,, represents side length.
Substitute the known side length and solve.
Example Question #1 :Circumference Of Circles
Find the circumference of a circle with the following radius:
In order to find the circumference of a circle we will use the following formula:
In this equation, the variable,, represent's the circle's radius.
Substitute in for the circle's radius.
Simplify and solve.
Example Question #1 :Geometry
A square has perimeter 24 feet. Give its area.
18 square feet
144 square feet
576 square feet
36 square feet
36 square feet
图的周长是长度的总和s of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length
feet.
The area of the square is equal to the length of a side multiplied by itself, so the area of this square is
square feet.
Example Question #1 :Area Of Squares And Rectangles
Jennifer wants to wallpaper her room which is made up for four rectangular walls each measuring atfeet byfeet. If each roll of wallpaper coverssquare feet of space, how many rolls of wallpaper will Jennifer need?
Start by finding out the total square footage of wallpaper needed.
Find the area of one wall. Recall that in order to find the area of a rectangle, you must multiply the length by the width.
Since we have four identical walls,
Now divide this by the amount of square feet covered by each roll of wallpaper to find how many rolls are needed.
Example Question #1 :Geometry
Find the area of a circle with the following radius:
The area of a circle can be calculated using the following formula:
In this formula the radius is denoted by the variable,.
Substitute in the known variables and solve for the circle's area.
Example Question #1 :Area Of A Circle
Which is equal to the radius of a circle with area
The formula for the areaof a circle, given its radius, is. Replacewith:
To find the radius, first, divide both sides by:
Now, find the square root of both sides. Since, 20 is the square root of 400, so
.
The radius of the given circle is 20.
Example Question #2 :Geometry
确定机器装配线上is filling bottles with the correct amount of soda, twenty bottles are selected. The tenth bottle and every tenth bottle after that are taken off the line and examined.
This is an example of which kind of sampling?
Convenience sampling
Cluster sampling
Systematic sampling
Stratified sampling
Systematic sampling
The sample in this scenario is selected from the population by choosing obects that occur at regular intervals. That makes this an example of systematic sampling.
Example Question #3 :Geometry
What is the area of a circle that has a diameter of?
Recall how to find the area of a circle:
To find the length of the radius, divide the diameter by two.
Now, plug it into the equation for the area of a circle.
Example Question #1 :Geometry
Calculate the volume of a sphere with the following radius:
We can calculate the the volume of a sphere using the following formula:
in this formula the variable,, represents the radius of the sphere.
Substitute in the known radius and calculate the volume.
Simplify.
Solve.
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