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a circular frame that is 3-inches wide surrounds the mirror what I the combined area in square inches of the circular mirror and the frame

Sagot :

assuming the frame is a perfect circle
and 3 inches wide indicates the diameter


area of a circle=pi times radius^2

diameter=2 times radius
radius=1/2 diameter
diameter=3
radius=1/2 times 3
radius=3/2=1.5

area=pi times 1.5^2=2.25
pi is aprox 3.14 so
2.25 times 3.14=7.065 square inches


the answer is 2.25π square inches or 7.065 square inches

Step-by-step explanation:

Diameter = 3 inches

Area of a circle = pi(r)^2

r = radius

Diameter = radius(2) or diameter/2

3/2 = 1.5

Area =  pi(1.5^2)

= 2.25pi

You can simplify your answer to 2.25(3.14) because pi = approximately 3.14

2.25(3.14) = 7.065

Because the question is looking for the combined area of the area of the mirror and frame (2.25pi), multiply the area of the mirror by area of the frame (2.25) to get your combined solution.

*Make sure to put the unit (square inches or sq. in.)

Answer:

2.25pi or 7.065