if the circumference of a circle is equal to 24cm what is the radius

2 pi r = 24

r = 12/pi

Study

The formula to calculate the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.

In this case, we are given that the circumference is 24 cm.

Plugging this value into the formula, we get:

24 = 2πr

To solve for r, divide both sides of the equation by 2π:

r = 24 / (2π)

Calculating the value, we find that the radius is approximately 3.82 cm.

To find the radius of a circle when given the circumference, you can use the formula:

Circumference = 2πr

where 'Circumference' is the given value (24cm) and 'r' is the radius we are trying to find.

Rearranging the formula to solve for 'r':

r = Circumference / (2π)

Now let's substitute the value of the circumference into the formula and calculate the radius:

r = 24cm / (2 * 3.14)
r ≈ 3.82 cm

Therefore, the radius of the circle is approximately 3.82 cm.