A circular sector is the portion of a circle bounded by two radii and an arc.
To calculate the area of a circular sector, we use the area formula in terms of an angle:
S = πr ^ 2α / 360º, where:
S is the area of the circular sector;
r is the radius of the circle;
α is the central angle;
π – 3.14.
S = 3.14 · 4 ^ 2 · 45 ° / 360º = 3.14 · 16 · 45 ° / 360º = 2260.8 / 360 = 6.28 cm2.
Answer: the area of the circular sector is 6.28 cm2.
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