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3 years ago

Find the exact circumference of a circle with diameter equal to 8 ft

2 answers:

lina2011 [118]3 years ago

6 0

The formula for circumference is C= 2(pi)(r)^2. Because diameter is double the radius, and the diameter is 8 ft, the radius is 4 ft. So, plug that into the equation, and you get: C=2(pi)(4)^2. The answer is 32 pi ft. If the question asks for the exact answer, keep the pi as it is, but if it says to round, multiply 32 by pi and round.

Nata [24]3 years ago

4 0

Answer:

Diameter = 8 ft

Circumference = πD

Circumference = 22/7 × 8 = 25.14 ft

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Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

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Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

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$z=\frac{21}{30}$

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Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

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y----> the volume of the larger pyramid

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we have

$z=\frac{7}{10}$

substitute

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Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

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we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

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y----> the volume of the larger pyramid

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we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

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Answer:

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Hi,

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