Question

2. The radius of a circle is 7cms. The angle subtended by an arc of the circle at centre is 45º. Find the area of sector.​

Answer 1

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 = $\frac{Angle of the arc}{360} x \pi r^{2}$

where r is the radius ;

 Insert the parameters and solve;

       Area of sector = $\frac{45}{360}$ x $\pi$ x 7²

       Area of sector = 19.2cm²