Question

the perimeter of sector of circle is 66cm and the rdius of circle is 12 cm find the corresponding length of arc?

Answer 1

let length of the arc =l cm
radius =r=12cm
perimeter of the sector = 66 cm
l+r+r =66
l+12+12=66
l+24=66
l=66-24
l=42 cm

Answer 2

Let length of the arc = X cm
Radius =r=12cm
Perimeter of the sector = 66 cm
X+r+r =66
X+12+12=66
X+24=66
X=66-24
X=42 cm