anonymous
  • anonymous
MEDAL AND FAN 1 All circles are similar to each other. True False 2 Find the exact area of a circle having the given circumference. 8 A = 4√2 16 64 3 Find the exact area of a circle having the given circumference. 3 A = 2.25 3 9 4 Find the exact circumference of a circle with an area equal to 36 sq. in. 12 18 324
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
1. T
mathstudent55
  • mathstudent55
2. Use the circumference formula to find the radius. Then use the area formula to find the area.
mathstudent55
  • mathstudent55
3. Solve it same way as 2.

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mathstudent55
  • mathstudent55
4. Use the area formula to find the radius. Then use the circumference formula to find the circumference.
mathstudent55
  • mathstudent55
If you have questions, just ask.
anonymous
  • anonymous
cant remember the area formula for a circle
anonymous
  • anonymous
can you work out number 2 for me?
anonymous
  • anonymous
@mathstudent55
mathstudent55
  • mathstudent55
Here are the formulas you need. \( \Large C_{circle} = 2 \pi r\) \(\Large A_{circle} = \pi r^2\)
anonymous
  • anonymous
|dw:1438148434752:dw|
mathstudent55
  • mathstudent55
2 Find the exact area of a circle having the given circumference. 8 A = 4√2 16 64 If the circumference is 8, we set 8 equal to teh circumference formula and find the radius. \(\large C_{circle} = 2 \pi r\) \(\large 8 = 2 \pi r\) \(\large \dfrac{8}{2 \pi} = \dfrac{2 \pi r}{2 \pi} \) \(\large \dfrac{4}{\pi} = r\)
mathstudent55
  • mathstudent55
You stared it out correct. You need to divide both sides by pi. |dw:1438148608264:dw|
mathstudent55
  • mathstudent55
Ok with the radius?
anonymous
  • anonymous
do i need to divide 4 by pi or is that the final radius?
mathstudent55
  • mathstudent55
No. Don't divide. The problem wants an exact area, so we can't divide by pi and give an approximate decimal. We need to keep pi in the radius. Now we find the area.
mathstudent55
  • mathstudent55
\(\large A = \pi r^2\) \(\large A = \pi \times \left( \dfrac{4}{\pi} \right) ^2\) Ok so far with the area?
mathstudent55
  • mathstudent55
|dw:1438148873842:dw|
mathstudent55
  • mathstudent55
|dw:1438148931770:dw|
anonymous
  • anonymous
so the answer is \[16\]
anonymous
  • anonymous
16 pi
anonymous
  • anonymous
thanks
mathstudent55
  • mathstudent55
No. Not 16*pi It's 16/pi
mathstudent55
  • mathstudent55
Wait. There is no pi at all in problem 2 or in the choices. Was the circumference 8 or 8pi?

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