Respuesta :
The complete question is:
Henry knows that the circumference of a circle is 18π inches. What is the area of the circle?
Solution:
Circumference (C) of the circle can be written as:
[tex]C=2 \pi r \\ \\ 18 \pi =2 \pi r \\ \\ r=9[/tex]
Using this value of radius, we can find the Area(A) of the circle.
[tex]A= \pi r^{2} \\ \\ A= \pi (9)^{2} \\ \\ A=81 \pi [/tex]
Therefore, area of the circle having a circumference of 18π inches will be 81π inches²
Henry knows that the circumference of a circle is 18π inches. What is the area of the circle?
Solution:
Circumference (C) of the circle can be written as:
[tex]C=2 \pi r \\ \\ 18 \pi =2 \pi r \\ \\ r=9[/tex]
Using this value of radius, we can find the Area(A) of the circle.
[tex]A= \pi r^{2} \\ \\ A= \pi (9)^{2} \\ \\ A=81 \pi [/tex]
Therefore, area of the circle having a circumference of 18π inches will be 81π inches²
