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A quarter has a diameter of approximately 24 millimeters. What is the area of the quarter? Approximate Π as 3.14.

Verified Answer :

Area (A) = Pi R^2. if the Diameter (d) =2r, then R=1/2 D. If D=24 millimeters, then R = 12 millimeters. so, back to the original equation, A=3.14 12^2. 12^2 =144, so multiply 144 by 3.14. you get 452.16

Answer:

Area of the quarter is 452.16 mm²

Step-by-step explanation:

A quarter has a diameter of 24 mm approximately.

We have to calculate the area of the quarter.

Since area of a quarter = area of a circle = πr²

Where r is the radius

Since diameter of the quarter = 24 mm

Therefore radius = \(\frac{24}{2}=12mm\)

Now we put the value of r = 12 mm to calculate the area

Area = (3.14)(12)²

        = (3.14)(144)

        = 452.16 mm²

Therefore Area of the quarter is 452.16 mm²