Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area and circumference of a circle is expressed mathematically as;
Where A is area, C is circumference, r is radius and π is constant pi.
Given the data in the question;
First, we determine the radius of the circle.
24π cm = 2πr
r = 24π cm / 2π
r = 12cm
Now, we find the area.
A = πr²
A = π × (12cm)²
A = π × 144cm²
A = 144πcm²
Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².
Learn more about circles here: brainly.com/question/11952845
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