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otez555 [7]
3 years ago
9

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

Answer:

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and   r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π  =  2πr/2π

23/2   =  r

radius =   \frac{23}{2}  m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle   and   r is the radius of the circle

A = π ( \frac{23}{2} )²

A = \frac{529}{4}  π  m²    or      132.25 π  m²

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

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Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
Alborosie
Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup
3 0
3 years ago
What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val
Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = \dfrac{d-b}{c-a}

Then, the slope of the line that passes through (2, 12) and (4, 20) = \dfrac{20-12}{4-2}

=\dfrac{8}{2}=4

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9

By comparison,  c= 9

Hence, the value of the y-intercept is 9.

4 0
3 years ago
Pls help i really need it
Alex Ar [27]

Answer:

.................

Step-by-step explanation:

8 0
3 years ago
Im going to give 15 points for this question please answer it please
Leviafan [203]
I think it's either 18 or 24.. I've had this question before but I'm not positive which answer I put and if it was correct, sorry I couldnt help much :( 
3 0
3 years ago
Can Anyone help me with this conversion please I am really stuck
Iteru [2.4K]
15kg=33 lbs

48.4 lbs/2.2 lbs. =22 kg

1 kg = 2.2 lbs so when you need to make a conversion wityh kilograms and pounds write that out then put how ever many pound you need to get to under the 2.2 lbs and cross multiply same with the kilograms.

3 0
3 years ago
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