The radius, diameter, or circumference of a circle is given. Find the missing measures. Round to the nearest hundredth if necessary. r = 7.8 mm, d = ? , C = ? Question 1 options: d = 15.6 mm, C = 24.50 mm d = 15.6 mm, C = 49.01 mm d = 3.9 mm, C = 49.01 mm d = 3.9 mm, C = 24.50 mm

Respuesta :

Answer:

Second option:

[tex]d = 15.6\ mm,\ C = 49.01\ mm[/tex]

Step-by-step explanation:

We can observe that the radius of the circle is given. This is:

[tex]r = 7.8\ mm[/tex]

And the missing measures are the diameter of the circle and the circumference.

Since the diameter of a circle is twice the radius, we get that this is:

[tex]d=2r\\\\d=2(7.8\ mm)\\\\d=15.6\ mm[/tex]

To find the circumference of the circle, we can use this formula:

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle.

Substituting the radius into the formula, we get:

[tex]C=2\pi r\\\\C=2\pi (7.8\ mm)\\\\C=49.01\ mm[/tex]

The answer for the question is: d=15.6mm C=49.01mm