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sashaice [31]
2 years ago
12

The area of a circle of radius 5cm is numerically what percent of its circumference

Mathematics
1 answer:
Inessa [10]2 years ago
3 0

Circumference=2πr

C=2xπx5

C=π10

Area=πr2

Ar=πx5x5

Ar=π25

Percentage=π25 /π10 x100

P=250

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Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

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Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

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Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

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