Question

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Answer 1

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Answer 2

- π is the area of a circle of radius 1

- π is the circumference of a circle of diameter 1

- π is the constant of proportionality relating the diameter of a circle to its circumference

Explanation:

Area of a circle = πr² or πd²/4

Circumference of a circle = 2πr or πd

r is the radius

d is the diameter

If radius = 1

Area = π(1)²

Area = π

hence π is the area of a circle of radius 1 is CORRECT

Given d = 1

Area = πd²/4

Area = π(1)²/4

Area = π/4

Hence π is the area of a circle of diameter 1 is INCORRECT

For the circumference;

C = 2πr or πd

If r =1

C = 2π(1)

C = 2π

Hence π is the circumference of a circle of radius 1 is INCORRECT

Also if d = 1;

C = πd

C = π(1)

C = π

hence π is the circumference of a circle of diameter 1 is CORRECT

Since C = πd, then π is the constant of proportionality relating the diameter of a circle to its circumference is CORRECT