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Quick Math Homework Help
The video solves: Find the radius of a circle given the area.
Find the area of a circle given a diameter of 10 units.

Given the diameter you could find the area two ways. 
Option 1.  Use the formula,



3.14/4 = .785
Square the diameter, 10 squared = 100
.785 * 100 ≈ 78.5 units squared

Option 2
Divide diameter by 2 in order to find the radius
10/2 = 5
Then use,  
π * r*r
π * 5*5 = π25
3.14 * 25 ≈ 78.5 units squared 
What do you do if you know the area of a circle, and want to know the radius?

Find the area of a circle using circumference.

Find the area of a circle with a circumference of 20 π units.

Step 1. Find the radius of the circle using Circumference = 2 πr
20 π = 2 πr
Divide each side by π
20 π/ π= 2 πr/ π
20= 2r
Divide by 2 both sides
20/2 = 2r/2
10 = radius

Step 2. Now plug the radius of 10 into the area formula.
Area = π* 10 *10 = 100 π  or 3.14*100 ≈ 314 units squared

circle diameter of 10 units
10
Find the area of a circle with a radius of 4 units.




Plug your given information into the area of circle formula: 

                                              or  π*r*r

π * 4*4 = π16 units squared is the exact answer
3.14* 16 = 50.24 units squared is an approximate answer.

Find the area of a circle with a radius of 8 units.
π * 8*8 = π64 
3.14* 64   ≈ 200.96 units squared 

If circumference is given use a two step process.
Step 1. Find the radius from the circumference using,
Radius = circumference/ π

Step 2. After finding the a radius, use, 

If diameter is given use, 
There are several formulas for finding the area of a circle based on information provided.

If the radius is given use, 
Common Core Standard: 7.G.4   7th Grade Math
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Finding the area of a circle step by step.

Common Core Standard: 7.G.4 Seventh Grade Geometry (7.G) Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 

Find the radius of a circle that has an area of 81π inches ^2

Area of a Circle Infographic
area of a circle infographic

How do you find the area of a Circle ?

 circle with graph paper on inside area of a circle
In order to calculate the area of a circle you will need one of these measures.

Radius which the distance from the center of the circle to the edge. 

Diameter which is the distance across the circle and through the center. The diameter is twice the length of the radius. of the circleacross the circle.

​Circumference is the distance around a circle.  π is ratio of a circles using circumference divided by it's diameter.
diameter,radius,circumference of a circle
square units of a circle
Step 1. In order to find the radius you will work backwards. Plug your given information into the formula,  Area = πr^2
 πr^2 = 81 

Step 2. Divide each side by π
            πr^2/π = 81/π

Step 3. Take the square root of both sides
            √r^2 = √81

Step 4. Solution = r =9
81π inches ^2
 The area of a circle is the total number of square units found in the space inside the circle.You could count all of the squares inside the circle, but it much easier and accurate to use the formulas for finding the area of a circle.
Area/Perimeter Formulas             Alternate method for Area               Area circle from Radius