Length of diameter is 2.86 cm
Solution:
Given that circumference of a circle is 8.97 cm
To find: length of diameter
We can use the formula for circumference of circle to find radius and then we can find diameter
The circumference of circle is given as:
[tex]C = 2 \pi r[/tex]
Where "r" is the radius of circle and [tex]\pi[/tex] is a constant equals to 3.14
Substituting c = 8.97 and [tex]\pi = 3.14[/tex]
[tex]8.97 = 2 \times 3.14 \times r\\\\8.97 = 6.28 \times r\\\\r = \frac{8.97}{6.28}\\\\r = 1.4283[/tex]
Thus radius of circle is 1.4283 cm
Finding diameter of circle
diameter = 2(radius)
diameter = 2(1.4283) = 2.8566
On rounding to two decimal point we get, 2.86
Thus length of diameter is 2.86 cm