Answer:
Step-by-step explanation:
To calculate the area of the shaded portion, we need to find the whole circle's area.
Area of circle is given by,
[tex] {\boxed{\sf {Area_{(circle)} = \pi r^2}}} [/tex]
Here we have, radius of circle = 4 cm
Plugging in the values,
[tex] \sf Area = 3.14 \times (4)^2 [/tex]
[tex] \sf \ \ \ = 3.14 \times 16 [/tex]
[tex] \sf \ \ \ = 50. 24 \ cm^2 [/tex]
If the shaded portion is [tex]\sf \frac{1}{4}[/tex] of the whole circle's area, Then the area of the shaded portion will be :
[tex] \sf Area_{(shaded \ portion)} = \dfrac {Total \ Area}{4} [/tex]
[tex] \sf \ \ \ \ \ \ = \dfrac {50.24}{4} [/tex]
[tex] \sf \ \ \ \ \ \ = 12.6 \ cm^2 [/tex]
Therefore, the area of the shaded portion of the circle is 12.6 cm²
