Lucinda38688
contestada

If the circumference of a circle measures 5π cm, what is the area of the circle in terms of π? A) 5 /4 π cm2 B) 5/ 2 π cm2 C) 2/5 4 π cm2 D) 2/5 2 π cm2

Respuesta :

kibaaryamap0wm0m
the equation for area of a circle using circumference is C (squared) over 4 pie, so my best guess would be A.
calculista

Answer:

The area of the circle is [tex](\frac{25}{4}) \pi\ cm^{2}[/tex]  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference is equal to

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

we have

[tex]C=5\pi\ cm[/tex]

substitute and solve for r

[tex]5\pi=2\pi r[/tex]  

[tex]r=\frac{5}{2}\ cm[/tex]

step 2

Find the area of the circle

The area of the circle is equal to

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

substitute the value of r in the formula

[tex]A=\pi (\frac{5}{2})^{2}[/tex]

[tex]A=\pi (\frac{25}{4})[/tex]

[tex]A=(\frac{25}{4}) \pi\ cm^{2}[/tex]  

Otras preguntas