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3 years ago

A Circle has a diameter of 9 cm. Find the Circumference. Give a Simplified Exact answer. Enter pi with answer. For example 4pi

2 answers:

8 0

First, find the radius of the circle.
-The radius of a circle is half the length of the diameter. If r=radius and d=diameter it would be r=d/2. The radius of the circle is r=9/2=4.5. So the radius of the circle is 4.5 cm.

Second, use the circumference equation of a circle to find the circumference.
The equation is C=2 $\pi$ r, where C=circumference and r=radius. Then plug in your numbers.
C=2 $\pi$ 4.5=9 $\pi$

So the answer is 9 $\pi$ cm.

lutik1710 [3]3 years ago

3 0

Circumference = Diameter * $\pi$

So 9 $\pi$ is the answer

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What are the foci of the ellipse 8x^2+9y^2=96

tino4ka555 [31]

Answer:

Step-by-step explanation:

Let's first get this into standard form of an ellipse. That means that we divide everything by 96 so we have a 1 on the right side of the equals sign:

$\frac{8x^2}{96}+\frac{9y^2}{96}=1$

Doing the division simplifies this down to

$\frac{x^2}{12}+\frac{y^2}{\frac{32}{3} }=1$

We know from the numerators that this is an ellipse centered about the origin (its center is (0, 0).

To find the coordinates of the foci, use

$c^2=a^2-b^2$

For an ellipse, a is always larger than b, and the larger number is always under the x-term. So we have a horizontally oriented ellipse. Our a = 12 and b = 32/3. Filling in our equation:

$c^2=12^2-(\frac{32}{3})^2$