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.

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 =

where r is the radius ;

 Insert the parameters and solve;

       Area of sector = x x 7²

       Area of sector = 19.2cm²

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2