Answer:
C. 24 m
Explanation:
Pre-Solving
We are given that the area of a circle is 144π m².
We want to find the diameter of a circle.
Recall that the diameter is twice the value of the radius.
The area of the circle is given as πr², where r is the radius.
So, we should first find the radius, then multiply it by 2.
Solving
As stated above, the area is πr², and we were given it's 144π m².
So, this means:
πr² = 144π m²
To start, divide both sides by π.
r² = 144 m²
Square root both sides.
√r² = √144 m²
r = 12 m (n.b. there technically should be another answer: r = -12, however distance cannot be negative. Therefore, we can disregard that answer).
We have found the radius.
As we also stated, the diameter is twice the length of the radius.
So, d = 2r = 2(12 m) = 24m
The answer is C.