Final answer:
C. 6.25 7 in.2 The area of a circle with a diameter of 5 inches is 6.25π square inches, which is option 'C'.
Step-by-step explanation:
The question asks to calculate the area of a circle (referred to as OZ in the question) when the diameter is given as 5 inches. To find the area of a circle, we use the formula A = πr^2, where 'A' is the area and 'r' is the radius of the circle.
Since the diameter is twice the radius (d = 2r), we first calculate the radius, which is half of the diameter: r = d/2 = 5 inches / 2 = 2.5 inches. Then, we substitute into the formula to find the area: A = π(2.5 inches)^2 = 6.25π square inches.
Therefore, the correct answer is that the area of the circle in terms of π is 6.25π square inches, which is equivalent to 6.25 times pi in.². So, the correct answer is 'C'.
To find the area of a circle, we use the formula A = πr2. The diameter of a circle is twice the radius, so if the diameter is 5 inches, the radius would be 5/2 = 2.5 inches. Substituting this value into the formula, we get A = π(2.5)2 = 6.25π square inches. Since π is approximately 3.14, the area is approximately 6.25 × 3.14, which equals 19.63 square inches.