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

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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
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I tried to get the answer by doing \[12.5 \times 3.5 but \it turned out \to be 43.75 which was \not there. ;-; sadly\]
woah that was weird

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Other answers:

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

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