Answer:
(6/5) π in^2 or 1.2 π in^2
Step-by-step explanation:
the area of a circle and the area of one circle sector are proportional.
Area of the circle = radius^2 * π = 3^2 π = 9π in^2
the hidden date is that the centre angle of a circumference is 360 degrees
we have now to use a proportion that has this meaning:
if the area is 9π in^2 when the angle is 360 degrees, what is the area when the angle is 48 degrees?
9π : 360 = x : 48
x = (48 *9π)/360 = (6/5) π in^2
