Question

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 ?

Answer 1

Radius is 24 centimeters

Diameter is 48 centimeters

Circumference is 150.72 centimeters

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.

`\pi r^(2)=1808.64\\3.14r^(2)=1808.64\\r^(2)=(1808.64)/(3.14)=576\\r=√(576) =24`

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:

`C=2\pi r\\C=2(3.14)(24)\\C=150.72`

Therefore, circumference of the circle B is 150.72 centimeters.