Answer:
The radius of the circle is 17.5 millimeters
Explanation:
* Lets explain how to compute the radius of a circle from its
circumference
- Circle is the locus of all points equidistant from a given point,
this point is called the center of the circle.
- The distance from the center of the circle to a point on the circle is
called the radius of the circle
- The circumference of a circle is the length of the closed cure
- The relation between the radius of a circle and its circumference is
C = 2πr, where C is the circumference and r is the radius
* Lets solve the problem
- The circumference of a circle is 109.9 millimeters
- We need to find the radius of the circle
∵ The circumference of the circle = 109.9 millimeters
∵ The circumference of a circle = 2πr
- Substitute the value of the circumference in the equation above
∴ 109.9 = 2πr
- Divide both sides by 2
∴ 54.95 = πr
- Divide both sides by π (π ≅ 3.14)
∴ r = 17.49 ≅ 17.5
∴ The radius of the circle is 17.5 millimeters