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bija089 [108]
3 years ago
8

A circle has diameter 12. What's the circumference?

Mathematics
2 answers:
Rudiy273 years ago
8 0
<h2><u>Solution</u></h2>

<u>Given </u><u>:</u><u>-</u>

  • diameter of circle = 12

Then,

  • Radius will be circle= 12/2 = 6

<h3><u>E</u><u>x</u><u>p</u><u>l</u><u>a</u><u>n</u><u>a</u><u>ti</u><u>o</u><u>n</u></h3>

<u>Using </u><u>Formula</u>

★Circumference of circle = 2πr

<u>Keep </u><u>Value</u>

==> Circumference of circle = 2π × 6

==> Circumference of circle = 12π

<h2><u>Hence</u></h2>

  • your answer will be option number b.
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

b. 12π

Step-by-step explanation:

C= 2πr

R= D/2= 12/2= 6

C= 2x3.14x6

2x6= 12

C= 12π

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2 years ago
On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre
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Answer:

56 choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy <u><em>does not</em></u> matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

_nC_r=\frac{n!}{r!(n-r)!}, where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.

In this case, n=8 and r=3. Substituting these values into the formula gives us:

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= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1} (Expand the factorials)

=\frac{8*7*6}{3*2*1} (Cancel out 5*4*3*2*1)

=\frac{8*7*6}{6} (Evaluate denominator)

=8*7 (Cancel out 6)

=56

Therefore, the child has \bf56 different ways to pick the candies. Hope this helps!

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