Answered

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

Verified Answer :

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 = \(2 \pi\)r

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

31.4 = 2\(\pi r\)
divide by 2\(\pi\) to isolate r

\(\frac{31.4}{2 \pi }\) = \(\frac{2 \pi r}{2 \pi }\)
2\(\pi\) and 2\(\pi\) cancels out.

0.4997 = r
0.5 in ≈ r        (approximately)

Diameter is 2 × radius
                   2 × 0.5
                   1 in