Find the area of a circular sector with a radius of 4 cm if its central angle is 45.

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.