contestada

The circumference of a circular clock is 31.4 inches.What is the diameter of the clock

Respuesta :

Circumference of a circle=πd
d=diameter
Circumference=31.4 in
π=3.141592654...

31.4 in=πd
d=3.14 in / π=0.999493...in≈1 in

Answer: diameter=1 in

The circumference formula is 
C = [tex]2 \pi [/tex]r

We know the circumference, so lets find the radius and we will get the diameter.

31.4 = 2[tex] \pi r[/tex]
divide by 2[tex] \pi [/tex] to isolate r

[tex] \frac{31.4}{2 \pi } [/tex] = [tex] \frac{2 \pi r}{2 \pi } [/tex]
2[tex] \pi [/tex] and 2[tex] \pi [/tex] cancels out.

0.4997 = r
0.5 in ≈ r        (approximately)

Diameter is 2 × radius
                   2 × 0.5
                   1 in