Answer:
The correct answer to the exercise is:
- Surface area of a circle = 633.1
![mm^(2)](https://img.qammunity.org/2022/formulas/mathematics/college/n1mka3o375wsca9o8nk0ts09jdiqmodv45.png)
Explanation:
To obtain the surface area of a circle, you can use the formula:
- Surface area of a circle = π *
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 *
- Surface area of a circle = 3.14 *
![(14.2 mm) ^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mnh0y7plpz57hq1989fdw8yxoclcqksggo.png)
- Surface area of a circle = 3.14 * 201.64
![mm^(2)](https://img.qammunity.org/2022/formulas/mathematics/college/n1mka3o375wsca9o8nk0ts09jdiqmodv45.png)
- Surface area of a circle = 633.1496
![mm^(2)](https://img.qammunity.org/2022/formulas/mathematics/college/n1mka3o375wsca9o8nk0ts09jdiqmodv45.png)
- Surface area of a circle = 633.1
(rounded to the nearest tenth).