Mathematics: Meteor Crater, located near Flagstaff, Arizona, is a circular crater with a circumference of 2.32 miles. What is the approximate diameter of the crater?

Meteor Crater, located near Flagstaff, Arizona,

josephraven778

26.04.2021

The approximate diameter of the crater is 0.74 mile.

Step-by-step explanation:

Circumference of a circle(C)=2*π*r(radius of the circle)

2.32 miles=2π*r

or, r=2.32 miles/2π

So, r=0.369 mile

Then,

d=2r

d=2*0.369 mile

So, d= 0.74 mile

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katier9407

30.01.2021

Step-by-step explanation:

The Square ABCD inscribed in a circle is shown in the picture attached.

The diagonal is broken down into two 9 cm parts as shown. We let

be the length of the apothem [line from center of square to midpoint of side]. Also, we let

be half the length of the side of the square.Since square,

and

are equal

Let's find the side length of the square using pythagorean theorem:

$(Side Length)^{2}+(Side Length)^{2}=18^{2}\\2SideLength^{2}=324\\SideLength^{2}=162\\SideLength=\sqrt{162}$

Since, is HALF of SIDE LENGTH, is:

$x=\frac{\sqrt{162}}{2}\\x=\frac{\sqrt{81}*\sqrt{2}}{2}\\x=\frac{9\sqrt{2}}{2}$

Since, and are equal, we can say $y=\frac{9\sqrt{2}}{2}$

Apothem's length is $\frac{9\sqrt{2}}{2}$ . Answer choice C is right.

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