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