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Lapatulllka [165]
4 years ago
8

Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Mathematics
2 answers:
MariettaO [177]4 years ago
6 0

Answer:

\frac{C}{4} = \pi

Step-by-step explanation:

Circumference(C) of a circle is given by:

C = 2 \pi r               ....[1]

where, r is the radius of the circle.

As per the statement:

Given a circle with a diameter of 4.

We know that:

Diameter(D) = 2r

⇒2r = 4

Substitute the value in [1] we have;

C = \pi \cdot (2r)

⇒C =4\pi

Divide both sides by 4 we have;

\frac{C}{4} = \pi

Therefore, the  the ratio of the circumference of a circle to its diameter is, \frac{C}{4} = \pi

julsineya [31]4 years ago
5 0

Your answer would be C/4 = π.

Pi is the ratio of a circle's circumference to its diameter.

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The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
zloy xaker [14]

Answer:

103=  p small

plarge = 123

Step-by-step explanation:

We know that the the ratio of the areas is the scale factor squared/

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simplify by dividing by 2 on top and bottom

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Take the square root of each side

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5

The ratio of the perimeters is the scale factor

p large             6

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Using cross products

6 p large = 5 p small

We know the sum is 226

p large + p small = 226

p large = 226 - p small

We have 2 equation and 2 unknowns

6 p large = 5 p small

Substitute for p large

6 (226 - p small) = 5 p small

1356 - 6 p small = 5 p small

Add 6 p small to each side

1356 = 11 p small

divide by 11

1356/11 =  p small

P large = 226-1356/11

p large = 2486/11-1356/11

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The solution requires whole number answers so

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123.27 which rounds to 123

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