Explanation:
The circumference of a circle can be expressed as C = 2πr, where C is the circumference, π is the value of pi, and r is the radius of the circle. We are given that the circumference of the circle is 35 and 13/21 inches.
So, we can set up an equation as follows:
35 and 13/21 = 2 x 22/7 x r
Simplifying the equation, we get:
35 and 13/21 = 44/7 x r
Multiplying both sides by 7/44, we get:
(35 and 13/21) x (7/44) = r
Simplifying the left side, we get:
(35 x 7 + 13)/21 x (7/44) = r
(245 + 13)/21 x (7/44) = r
258/924 = r
r = 0.2795 (approx)
The diameter of the circle is twice the radius, so:
d = 2 x r
d = 2 x 0.2795
d = 0.559 inches (approx)