Question

1. which of the following statements is false about the area of a circle?

a = πd

the area of a circle describes the number of square units that fit inside the circle.

the area of a circle determines how much space is covered by the circle.

a = πr²

Explanation:

To determine the false statement about the area of a circle, we analyze each option:

• The formula for the circumference of a circle is \( C = \pi d \) (where \( d \) is the diameter), not the area.
• The area of a circle is defined as the number of square units that fit inside it, so the second statement is true.
• The area of a circle also determines the space it covers, so the third statement is true.
• The correct formula for the area of a circle is \( A=\pi r^{2} \) (where \( r \) is the radius), so the fourth statement is true.

Thus, the false statement is \( A = \pi d \).

Answer:

A. \( A = \pi d \)