A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how much greater is the circumference of the complex crater than the simple impact crater?
Question
Answer:
The general equation for computing the circumference of a circle is [tex]C=\pi d[/tex], where C is the circumference, and d is the diameter. (You might also see the equation as [tex]C=2 \pi r[/tex] where r is the radius, because [tex]d=2r[/tex])Computing the circumferences of the two circles, we get:
[tex]C_{d=15}=\pi (15)=15\pi[/tex]
[tex]C_{d=30}=\pi (30)=30\pi[/tex].
To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"
[tex]\frac{C_{d=30}}{C_{d=15}}=\frac{30\pi}{15\pi}=2[/tex]
So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.
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