Answer:
The area of the sector is 272.57mm²
Explanation:
First we need to calculate the area of the circle
To solve this we need to use the area formula of a circle:
a = area
r = radius = 25mm
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (25mm)²
a = 3.14 * 625mm²
a = 1962.5 mm²
The area of the circle is 1962.5 mm²
Now we have to calculate the fraction that corresponds to this sector with respect to the total, knowing that a circle is represented with 360°
50° / 360° = 5/36
we multiply this fraction by the area of the circle
sector area = 5/36 * 1962.5 mm²
sector area = 272.57mm²
The area of the sector is 272.57mm²