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Answer :
Based on the above, the diameter of the circle is 24 cm.
What is the diameter
To find the diameter of a circle when you know its area, you can use the formula for the area of a circle:
Area (A) = π * r^2
Where:
- A = Area
- π (pi) is approximately 3.14159
- r = Radius
Since the area of the circle is 144π cm².
So, one can set up an equation: 144π = π * r²
Now, divide both sides of the equation by π to isolate r²:
r² = 144
Take the square root of both sides to find the radius (r):
r = √144
r = 12 cm
The radius is 12 cm.
To find the diameter (D), simply double the radius:
D = 2 * r
= 2 * 12 cm
= 24 cm
So, the diameter of the circle is 24 cm.
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See text below
The area of a circle is 144 π cm2. What is its diameter?
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