Question

Suppose the radius of circle a is equal to the diameter of circle

b. what is the ratio of the circumference of circle a to the circumference of circle b? explain.

Answer 1

The ratio of the circumference of circle a to the circumference of circle b is 1:2.

Step-by-step explanation:

The ratio of the circumference of circle a to the circumference of circle b can be determined based on their respective radii. Given that the radius of circle a is equal to the diameter of circle b, we can say that the radius of circle a is half the length of the radius of circle b (r_b = 2r_a).

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. Based on this formula, the circumference of circle a is C_a = 2πr_a and the circumference of circle b is C_b = 2πr_b = 2π(2r_a) = 4πr_a.

To find the ratio of the circumference of circle a to the circumference of circle b, we divide C_a by C_b: C_a/C_b = (2πr_a)/(4πr_a) = 1/2.

Answer 2

We've all seen circles before. They have this perfectly round shape, which makes them perfect for hoola-hooping!Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where distance from the center to the edge of the circle is always the same: