Question

Find the diameter of a circle that has an area of 452.16 mm². Show how you got to the answer.

A. 12 mm
B. 16 mm
C. 24 mm
D. 30 mm

Answer 1

To find the diameter of a circle with a given area, we can use the formula A = πr². By rearranging the formula, we can find the radius and then calculate the diameter.

Step-by-step explanation:

To find the diameter of a circle with a given area, we can use the formula A = πr², where A is the area and r is the radius of the circle. Since the area is given as 452.16 mm², we can solve for the radius by rearranging the formula: r = √(A/π). Plugging in the value for A, we get r = √(452.16/π) ≈ 12 mm. Therefore, the diameter of the circle is double the radius, which is 24 mm. So, the correct answer is C. 24 mm.