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(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

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step-by-step explanation: