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Oksana_A [137]
4 years ago
8

If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?

Mathematics
2 answers:
7nadin3 [17]4 years ago
3 0
<span>64π</span><span> is correct, since the </span>area<span> of the white </span>circle<span> is 36</span>π, and 100π<span> - 36</span>π<span> = 64</span>π<span>.</span>
Sunny_sXe [5.5K]4 years ago
3 0
The area of orange=total-white

given
all=100pi

remember
area=pi times radius^2
white radius is 6
area=pi6^2
area=36pi

areaorange=areatotal-areawhite
areaorange=100pi-36pi
areaorange=64pi square units
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 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

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        A2 - AB + AB - B2 =

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Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

<u><em>HOPE THIS HELPS!</em></u>

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