Question

Which statement is true about a circle? A. A circle's area and circumference are always equal B. A circles area and circumference are never equal. C. A circles area and circumference are equal when the radius is any length except 2 units. or D. A circles area and circumference are only equal when the radius is 2 units.

Answer 1

Answer:

Option D. A circles area and circumference are only equal when the radius is 2 units.

Step-by-step explanation:

we know that

The area of circle is equal to

$A=\pi r^{2}$

The circumference of a circle is equal to

$C=2\pi r$

equate both formulas

$\pi r^{2}=2\pi r$

simplify

$r^2=2r\\r=2$

therefore

A circles area and circumference are only equal when the radius is 2 units.