Find the area of a sector of this circle that is intercepted by a central angle measuring 30°

The area of a sector of a circle can be calculated by using this formula:

A=(n/360)*pi*r^2

where n is the measure of the central angle of the sector in degrees. Since we are already given with the measurement of the central angle, we can substitute this to the above formula:

A=(30/360)*pi*r^2

Taking the value of pi as 3.14, then

A=(1/12)*3.14*r^2
A=0.2617*r^2

Just plug in the value of r. and you will get the area of the sector. Hope this helps!