The area of circle B is 1808.64 square centimeters. What are the radius and diameter of circle B ? What is the circumference of circle B ?
![The area of circle B is 180864 square centimeters What are the radius and diameter of circle B What is the circumference of circle B class=](https://us-static.z-dn.net/files/d2c/8f32400966bcac37f2b0486e9c740ae6.png)
Answer:
Radius is 24 centimeters
Diameter is 48 centimeters
Circumference is 150.72 centimeters
Step-by-step explanation:
We have been given that area of the circle B is 1808.64 square centimeters.
We can find the radius of the circle B using the formula for area of circle and setting up the given area equal to the formula.
[tex]\pi r^{2}=1808.64\\3.14r^{2}=1808.64\\r^{2}=\frac{1808.64}{3.14}=576\\r=\sqrt{576} =24[/tex]
Therefore, radius of the circle B is 24 centimeters.
We know that diameter is twice the radius, therefore, diameter of circle B will be 24*2=48 centimeters.
Finally, we can express the circumference of circle using the formula:
[tex]C=2\pi r\\C=2(3.14)(24)\\C=150.72[/tex]
Therefore, circumference of the circle B is 150.72 centimeters.