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Maksim231197 [3]
2 years ago
13

The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ

Mathematics
1 answer:
dangina [55]2 years ago
3 0

Answer:

6\pi in

Step-by-step explanation:

The formula to find the area of a circle: \pi r^{2}, where r is the radius.

The formula to find the circumference (perimeter) of a circle: 2\pi r, where r is the radius.

1) To find the circumference of the circle, we need to find the radius (r) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.

9\pi =\pi r^2

Cancel the \pi by bringing it to the other side.

9 =\pi r^2 ÷ \pi

9 = r^2\\\sqrt{9} = r\\3 = r

2) Find the circumference of the circle by using the formula, 2\pi r.

=  2*\pi *3

= 6\pi in

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VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

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d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

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g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

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P(D or S) = 1/2

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