Answer:
The correct answer to the exercise is:
- Surface area of a circle = 633.1 [tex]mm^{2}[/tex]
Step-by-step explanation:
To obtain the surface area of a circle, you can use the formula:
- Surface area of a circle = π * [tex]r^{2}[/tex]
Where:
- π = 3.14 (the exercise give this)
- r = Circle radius.
How you can see, in the picture gives you a straight line that passes through the circle side by side, the circle radius is half of that value, then:
- r = 28.4 mm / 2
- r = 14.2 mm
Now, we can replace the values in the first formula:
- Surface area of a circle = π * [tex]r^{2}[/tex]
- Surface area of a circle = 3.14 * [tex](14.2 mm) ^{2}[/tex]
- Surface area of a circle = 3.14 * 201.64 [tex]mm^{2}[/tex]
- Surface area of a circle = 633.1496 [tex]mm^{2}[/tex]
- Surface area of a circle = 633.1 [tex]mm^{2}[/tex] (rounded to the nearest tenth).
