A sector represents a fraction of a circle. The fraction depends on the angle of the sector, X, and the total angle in a circle which is 360, such that the fraction is x/360. In this case the fraction is 40/360 = 1/9. The arc length represents one ninth (1/9) of the circumference. We know that the circumference is given by 2 * pi * radius, therefore the arc length is given by the fraction multiplied by the circumference. Arc length = (1/9) * 2 *pi * 7 = 4.89 cm to 3sf. The sector area represents one ninth (1/9) of the area of a circle. We know the area of the circle is given by pi * r2 therefore the sector area is given by the fraction multiplied by the area of the circle. Sector area = (1/9) *pi * 72 = 17.1 cm2 to 3sf.