contestada

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.

Respuesta :

calculista

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

[tex]A=\pi r^{2}[/tex]

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

equate both formulas

[tex]\pi r^{2}=2\pi r[/tex]

simplify

[tex]r^2=2r\\r=2[/tex]

therefore

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

Otras preguntas