All ISEE Upper Level Math Resources
Example Questions
Example Question #1 : Circumference Of A Circle
What is the circumference of a circle with a radius equal to ?
The circumference can be solved using the following equation:
Example Question #1 : Circumference Of A Circle
The radius of a circle is . Give the circumference of the circle in terms of .
The circumference can be calculated as , where is the radius of the circle.
Example Question #2 : How To Find Circumference
The area of a circle is . Give the circumference of the circle in terms of .
Let .
The area of a circle can be calculated as , where is the radius of the circle.
The circumference can be calculated as , where is the radius of the circle.
Example Question #2 : Circumference Of A Circle
What is the circumference of a circle with a radius of ?
The circumference can be solved using the following equation:
Where represents the radius. Therefore, when we substitute our radius in we get:
Example Question #1 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4
The perimeter of a given rectangle is equal to the circumference of a given circle. The circle has radius inches; the width of the rectangle is inches. What is the length of the rectangle?
inches
inches
inches
inches
inches
inches
The circumference of a circle with radius inches is
inches.
The perimeter of the rectangle is therefore inches. To find its length, substitute and into the equation and solve for :
inches
Example Question #191 : Geometry
The area of the shaded region in the above diagram is . Give the circumference of the circle.
The shaded region is an sector; this represents
of the circle. The area of the region is therefore
,
where is the radius. Setting and solving for :
The circumference of a circle is its radius multiplied by , or
Example Question #1 : How To Find Circumference
A circle has a radius of 5 miles, what is its circumference?
A circle has a radius of 5 miles, what is its circumference?
To find circumference, use the following formula:
Where r is our radius.
Plug in 5 miles to get our answer:
Example Question #2 : How To Find Circumference
While mailing some very important letters, you decide to use your circular rubber stamp. If the stamp has a radius of 3.5 cm, what is the circumference of the stamping surface?
Cannot be determined from the information provided.
While mailing some very important letters, you decide to use your circular rubber stamp. If the stamp has a radius of 3.5 cm, what is the circumference of the stamping surface?
Find circumference via the following:
Where r is our radius, which is 3.5 cm.
Example Question #3 : How To Find Circumference
You have a circular window in your vacation room. It has a radius of 9 inches. What is the circumference of the window?
You have a circular window in your vacation room. It has a radius of 9 inches. What is the circumference of the window?
Begin with the formula for circumference of a circle.
Next, plug in our "r" and solve for C
So, we have our answer!
Example Question #202 : Plane Geometry
Find the circumference of a circle with a radius of 4cm.
To find the circumference of a circle, we will use the following formula:
where r is the radius of the circle.
Now, we know the radius of the circle is 4cm.
Knowing this, we can substitute into the formula. We get
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