Question

If 200.96cm is the circumference what is the diameter and the radius ?

Answer 1

Explanation:

Radius (r):

r = 200.96 cm / (2 * 3.14)

r ≈ 200.96 cm / 6.28

r ≈ 31.98 cm

Diameter (D):

D = 2 * 31.98 cm

D ≈ 63.96 cm

Approximate Values:

Radius ≈ 31.98 cm

Diameter ≈ 63.96 cm

Answer 2

Diameter = 64 cm

Radius = 32 cm

Explanation:

Diameter:

The diameter of a circle is twice the radius.

Diameter = 2 × radius

We know that the circumference of the circle is 200.96 cm. We can use the following formula to calculate the diameter:

Circumference = π × diameter

Substituting the known value for the circumference, we get:

200.96 cm = π × diameter

Dividing both sides of the equation by π, we get:

`\sf diameter = (200.96 cm )/( \pi)`

Evaluating the expression, we get:

`\sf diameter = (200.96 cm )/( 3.14)`

diameter = 64 cm

Therefore, the diameter of the circle is 64cm.

Radius:

The radius of a circle is half the diameter.

`\sf Radius =( diameter )/( 2)`

Substituting the known value for the diameter, we get:

`\sf Radius =( 64 )/( 2)`

Evaluating the expression, we get

radius = 32 cm

Therefore, the radius of the circle is 32 cm.