Respuesta :

The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],

[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]

Correct choice is (C).

Answer:

Option C is correct

78 π inches

Step-by-step explanation:

Circumference (C) of a circle is given by:

[tex]C = 2 \pi r[/tex]                   .....[1]

where, r is the radius of the circle.

As per the statement:

From the given figure;

radius of the circle(r) = 39 in.

Substitute this value in [1] we have;

[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]

Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]