Final answer:
Upon reviewing the statements provided, each one correctly aligns with established geometric principles. Therefore, none of the statements listed (A, B, C, and D) are false based on the calculations and geometric laws applied.
Step-by-step explanation:
We need to analyze each statement for its correctness with respect to the principles of geometry:
- The area (A) of a circle with a diameter of 16 inches is 64π square inches: Since the diameter is 16 inches, the radius (r) is half of that, which is 8 inches. The formula for the area of a circle is A = πr². So A would be π * (8²) = 64π, which matches the statement, making this statement true.
- The circumference of a circle with an area of 25π square inches is 10π inches: We find the radius by using the area formula A = πr² which gives us r² = 25, so r is 5 inches. The formula for the circumference is C = 2πr, which would be 2π * 5 = 10π, making this statement true.
- The sum of the interior angles of a triangle is always 180°: This is a well-known fact in geometry and is therefore true.
- The area of a rectangle can be calculated by multiplying its length by its width: This is the correct formula for finding the area of a rectangle, so this statement is true.
All statements provided are true, so there is no false statement among the options given (A-D).