shelby1290
  • shelby1290
Determine the diameter of the circle, if O is the centre of the circle
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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shelby1290
  • shelby1290
|dw:1450335995302:dw|
Directrix
  • Directrix
Radii of a given circle are congruent. An isosceles triangle or 45-45-90 triangle has been formed. |dw:1450336283829:dw|
Directrix
  • Directrix
|dw:1450336366152:dw|

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Directrix
  • Directrix
@shelby1290 Do you know the 45-45-90 theorem or do you want to use the Pythagorean theorem to find r?
shelby1290
  • shelby1290
No, I'm not familiar with the 45-45-90 theorem. Let's just use Pythagorean theorem instead
Directrix
  • Directrix
Do you know how to set up the equation? Look above in the thread at the triangle.
shelby1290
  • shelby1290
So, all three sides are 28 mm, right? a^2+b^2=c^2 (28)^2+(28)^2=(28)^2 784+784=784 1568=784 15678-784 14894 sqrt =122.04
shelby1290
  • shelby1290
like that?
Directrix
  • Directrix
@shelby1290 The legs of the right triangle are each r and the hypotenuse is 28. The triangle is a right triangle. If all the sides were 28, it would be an equilateral triangle. Try this to solve: r^2 + r^2 = 28^2 where r is the radius of the circle.
Directrix
  • Directrix
Let's crank this out: @shelby1290 r^2 + r^2 = 28^2 where r is the radius of the circle.
shelby1290
  • shelby1290
Do we have to use either sine or cosine law to figure out what the radius is?
Directrix
  • Directrix
No. Just crank out the Pythag theorem algebra. Solve this for r: r^2 + r^2 = 28^2 2 * r^2 = What is 28 times 28 =
shelby1290
  • shelby1290
784
Directrix
  • Directrix
2 * r^2 = 784 We want to know what just r*2 equals. So, what is 784 divided by 2 equal?
Directrix
  • Directrix
784/2 = ?
shelby1290
  • shelby1290
392
Directrix
  • Directrix
2 * r^2 = 784 r^2 = 392 r = sqrt( 392) Now, we have to simply the square root of 392
shelby1290
  • shelby1290
r=19.79
Directrix
  • Directrix
|dw:1450337686479:dw|
Directrix
  • Directrix
|dw:1450337771378:dw|
Directrix
  • Directrix
>Determine the diameter of the circle, We have to get the diameter. It is twice the radius. Double what you got for the radius.
Directrix
  • Directrix
@shelby1290 It is not over yet. Just a word before you go. Double what you got for the radius.
shelby1290
  • shelby1290
so... 19.79 x 2 = 39.58
Directrix
  • Directrix
I got 39.597 which if 39.6 to the nearest tenth for the diameter.
shelby1290
  • shelby1290
Ah alright, I see! Thank you!
Directrix
  • Directrix
Alrighty, then.

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