The circumference of a circle is 7π m. What is the area of the circle? ​ 3.5π ​ m² ​ 12.25π ​ m² ​ 14π ​ m² ​ 49π ​ m²

Respuesta :

Answer:


Hi! The answer is B. 12.25pi m^2.

Answer:

[tex]12.25\pi m^{2}[/tex]

Step-by-step explanation:

The area of a circle is [tex]a=\pi r^{2}[/tex] and the circumference of a circle is [tex]C= 2\pi r[/tex] or [tex]C= \pi D[/tex] so since we know that the circumference is [tex]7\pi[/tex] we can take the diameter from that to find the radius. The radius is half of the diameter,so in our case 3.5. Now use this to find area. 3.5 times 3.5 is 12.25. So the exact area is [tex]12.25\pi[/tex] There are different ways than this to solve the problem. For example you could also use the method I attached as a reference.

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