gabbyalicorn
  • gabbyalicorn
The diameter of the larger circle is 12.5 cm. The diameter of the smaller circle is 3.5 cm. What is the approximate area of the shaded region? A. 28.26 cm² B. 113.04 cm² C. 132.27 cm² D. 254.34 cm²
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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gabbyalicorn
  • gabbyalicorn
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gabbyalicorn
  • gabbyalicorn
I tried to get the answer by doing \[12.5 \times 3.5 but \it turned out \to be 43.75 which was \not there. ;-; sadly\]
gabbyalicorn
  • gabbyalicorn
woah that was weird

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gabbyalicorn
  • gabbyalicorn
@gaos
gabbyalicorn
  • gabbyalicorn
@pinklion23
gabbyalicorn
  • gabbyalicorn
@Whitemonsterbunny17
gabbyalicorn
  • gabbyalicorn
@geerky42
anonymous
  • anonymous
Area of the greater circle- area of the smaller circle πRadius^2-πradius^2
gabbyalicorn
  • gabbyalicorn
6.28
anonymous
  • anonymous
3.14x(12.5)^2 - 3.13x(3.5)^2
geerky42
  • geerky42
You just need to find area of big circle and small circle using \(A = \pi r^2\) THEN you subtract big circle by small circle.
geerky42
  • geerky42
First convert diameter into radius
gabbyalicorn
  • gabbyalicorn
how do i do that?
geerky42
  • geerky42
Let's just find area of bigger circle. diameter is 12.5 So what is radius?
gabbyalicorn
  • gabbyalicorn
:/ radius is....a line segment that joins the center of a circle with any point on its circumference. (yes i looked it up)
geerky42
  • geerky42
no no I mean what is length of radius in bigger circle?
gabbyalicorn
  • gabbyalicorn
3.5
geerky42
  • geerky42
Radius is 1/2 the diameter, right?
geerky42
  • geerky42
So to find radius, you just divide diameter by 2
gabbyalicorn
  • gabbyalicorn
yes
geerky42
  • geerky42
So 12.5/2 = ?
gabbyalicorn
  • gabbyalicorn
6.25
geerky42
  • geerky42
Yeah, so now find area: \(A = \pi(6.25)^2\)
gabbyalicorn
  • gabbyalicorn
39.25 i got kind confused on this part
geerky42
  • geerky42
What are you confused with?
gabbyalicorn
  • gabbyalicorn
just that whole part with the a= π(6.25.....etc thing
geerky42
  • geerky42
\(\pi\) is pi. You can use 3.14 for that. \(etc~^2\) mean you multiply "etc" by itself For example \(4^2 = 4\times4\)
geerky42
  • geerky42
Does that make sense?
gabbyalicorn
  • gabbyalicorn
yes
geerky42
  • geerky42
OK so \(A = \pi(6.25)^2\) First, multiply 6.25 by itself
geerky42
  • geerky42
Then multiply it by 3.14
gabbyalicorn
  • gabbyalicorn
i got 122.6525
geerky42
  • geerky42
Good enough. This is area of bigger circle. Keep that in mind. Now do it again, but with smaller circle (with diameter 3.5). Can you find area of smaller circle?
gabbyalicorn
  • gabbyalicorn
so replace 6.25 with 3.5
geerky42
  • geerky42
yeah basically.
gabbyalicorn
  • gabbyalicorn
kk
gabbyalicorn
  • gabbyalicorn
i got 38.465
geerky42
  • geerky42
oops forgot to convert diameter into radius
geerky42
  • geerky42
3.5 is diameter, so what is radius?
gabbyalicorn
  • gabbyalicorn
um 12.5 ?
geerky42
  • geerky42
No. To get radius, you divide diameter by 2.
geerky42
  • geerky42
So 3.5/2 = ?
gabbyalicorn
  • gabbyalicorn
oh 6.25
gabbyalicorn
  • gabbyalicorn
I dont see it as the answer ;-; i think I did something wrong
geerky42
  • geerky42
3.5/2 = ?
gabbyalicorn
  • gabbyalicorn
1.75
gabbyalicorn
  • gabbyalicorn
oh wow the online calculator was way off
geerky42
  • geerky42
Yeah. so radius is 1.75. Now find area of circle.
geerky42
  • geerky42
with radius 1.75
gabbyalicorn
  • gabbyalicorn
1.75 x ? = ( 12.5 ) ?
geerky42
  • geerky42
No. \(A = \pi(1.75)^2\)
gabbyalicorn
  • gabbyalicorn
oh
gabbyalicorn
  • gabbyalicorn
9.61625
gabbyalicorn
  • gabbyalicorn
@geerky42
gabbyalicorn
  • gabbyalicorn
i guess is didn't do it right. but i double checked and it still was this answer. HELP ;-;
gabbyalicorn
  • gabbyalicorn
still unsure about this can you help @10115658
anonymous
  • anonymous
find the area of the larg circle and the small circle
gabbyalicorn
  • gabbyalicorn
12.5 is the area i belive
anonymous
  • anonymous
no, that is the diameter
anonymous
  • anonymous
remember, the area of a circle is \[\pi r ^{2}\]
anonymous
  • anonymous
radius is half the diameter
gabbyalicorn
  • gabbyalicorn
6.25
anonymous
  • anonymous
yep, now plug it into the formula
gabbyalicorn
  • gabbyalicorn
3.14 x 6.25 ?
gabbyalicorn
  • gabbyalicorn
19.625
anonymous
  • anonymous
6.25^2
gabbyalicorn
  • gabbyalicorn
39.0625 ?
anonymous
  • anonymous
don't forget about the pi
gabbyalicorn
  • gabbyalicorn
122.65625
anonymous
  • anonymous
yep, now find the area of the smaller circle
gabbyalicorn
  • gabbyalicorn
um
gabbyalicorn
  • gabbyalicorn
okay, so the smaller circle is 3.5
gabbyalicorn
  • gabbyalicorn
so 3.14 a^2 ?
anonymous
  • anonymous
3.5 is the diameter, what is the radius?
gabbyalicorn
  • gabbyalicorn
6.25
anonymous
  • anonymous
no its half the diameter
gabbyalicorn
  • gabbyalicorn
3.125
anonymous
  • anonymous
no what is the diameter of the smaller circle?
gabbyalicorn
  • gabbyalicorn
3.5?
anonymous
  • anonymous
yes, and the radius is half of that
gabbyalicorn
  • gabbyalicorn
1.75
anonymous
  • anonymous
now use the formula
gabbyalicorn
  • gabbyalicorn
9.61625
anonymous
  • anonymous
correct
anonymous
  • anonymous
now subtract the area of the small circle from the large circle
gabbyalicorn
  • gabbyalicorn
113.03625
anonymous
  • anonymous
good job
gabbyalicorn
  • gabbyalicorn
so, b
gabbyalicorn
  • gabbyalicorn
:D yay! thank you for helping me!
anonymous
  • anonymous
np

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