If the larger circle is 144n what is the area of smaller circle
Answers
Answered by
1
what is 144n here?
I think the answer will be n.
I think the answer will be n.
Answered by
2
Step-by-step explanation:
The formula for the area of a circle is:
A
=
π
r
2
Since we know the area, we can calculate the radius and double that to determine the diameter of the clock face.
144
π
=
π
r
2
Cancel the like terms on each side.
144
π
=
π
r
2
144
=
r
2
Factorise
144
to determine the radius.
2
⋅
2
⋅
2
⋅
2
⋅
3
⋅
3
=
r
2
(
2
⋅
2
⋅
3
)
(
2
⋅
2
⋅
3
)
=
r
2
(
2
⋅
2
⋅
3
)
2
=
r
2
2
⋅
2
⋅
3
=
r
r
=
12
Hence the diameter (
2
r
) will be:
D
=
2
×
12
=
24
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