Answer:
19.2cm²
Step-by-step explanation:
Given parameters:
Radius of the circle = 7cm
Angle subtended by the arc = 45°
Unknown:
Area of the sector = ?
Solution:
To find the area of the sector, use the expression below;
Area of sector = [tex]\frac{Angle of the arc}{360} x \pi r^{2}[/tex]
where r is the radius ;
Insert the parameters and solve;
Area of sector = [tex]\frac{45}{360}[/tex] x [tex]\pi[/tex] x 7²
Area of sector = 19.2cm²
