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1. The circumference of a circle is 16p centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.

Sagot :

CamdynStory

Answer: Diameter: 8

              Area:  201.1

             

Step-by-step explanation:

Diameter: Use the formula for the area of a circle:

Use the formula for the area of a circle:

A=πr2

Here, the area is 16π:

16π=πr^2

Divide both sides by  π:

16=r^2

Take the square root of both sides:  √16=√r^2

4=r

Since the radius of the circle is 4, the diameter is twice that:

d=4×2=8

Area:

Formula:

A = π r^2

A= Area R= Radius

Add Radius

A= π 8^2

Solve:

Simplify  π⋅8^2

Exact Form:

A=64π

Decimal Form:

A=201.06192982

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