Question

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Answer 1

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;

$A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2$

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

$A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2$

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².