The diameter of a DVD is 12 centimeters. The hole in the center of a DVD has a diameter of 1.5 centimeters. Find the area of the DVD. Round to the nearest hundredth if necessary.
Solution 1
The area of the circular DVD is given by A = 111.33 cm²
What is a Circle?
A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the area of the circular DVD be A
Let the diameter of the DVD = 12 cm
So , the radius of the DVD = 6 cm
Now , the diameter of the hole = 1.5 cm
So , the radius of the hole = 0.75 cm
And , area of the circular DVD be A = π [ ( 6 )² - ( 0.75 )² ]
On simplifying , we get
The area of circular DVD is A = π ( 36 - 0.5625 )
The area of circular DVD is A = π ( 35.4375 )
The area of circular DVD is A = 111.33 cm²
Hence , the area of the circular DVD is 111.33 cm²
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Solution 2
📚 Related Questions
Y=3x - 11
Y= -3x - 2
-3x - 2 = 3x - 11
+3x +3x
-2 = 6x - 11
+11 +11
6x = 9
x = 1.5
Y=3(1.5) - 11
y = 4.5 - 11
y = -6.5
Now we have our points.
Answer: x = 1.5 and y = -6.5
3x-11 = -3x-2
add 3x on both sides
6x-11 = -2
add 11 on both sides
6x = 9
divide 6 on both sides
x = 3/2
As you found the x value, you now need to find the y value by plugging in the x value in one of the above equations and solve for y.
y = 3x-11
y = 3(3/2) -11
y = 9/2 -11
y = -13/2
So, the answer is (3/2,-13/2) or (1.5,-6.5)
HOPE THIS HELPS!!!
Answer:
multiply the others by n
Step-by-step explanation:
If you want to keep the same ratio, you must multiply all of the numbers by n.
A ratio of 1 : 1 will remain 1 : 1 if all the numbers are multiplied by n:
1 : 1 = n : n
_____
Comment on alternate interpretation of the question
There are occasions for multiplying the ratio by n:
x/n = 1/2
To solve this for x, we multiply the ratio (1/2) by n. This multiplies the numerator, but does not change the denominator.
x = n(1/2) = n/2
8 ×
Now to make the calculation easier,, factor the expression.
(8 ×
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 ×
Let me know if you have any further questions.
:)
To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.
To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.
I hope this helps!
hope this helps
To find the total cost, we need to first find the area of the parallelogram. To find the area, we need to multiply the base and height.
Then, we need to multiply the total area by the cost of $2.60.
32 x 15 x 2.6 = 1248
Answer:
$1248.
Step-by-step explanation:
area = base x height.
then
area x cost
b h c
32 x 15 x 2.6 = 1248
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