Answer:
The area of the sector of the circle is approximately
Step-by-step explanation:
The given parameters of the circle having a shaded sector are;
The radius of the circle, r = 4 meters
The measure of the arc bounding the sector = 135°
The area of a sector of a circle, 'A', is given as follows;
[tex]A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2[/tex]
Therefore, the area, 'A' of the given sector of the circle, is given as follows;
[tex]A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2[/tex]
The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².
