Answer:
x=6
Step-by-step explanation:
The area of the circle = π r² = π (d/2)²
Where r is the radius of the circle
And d is the diameter of the circle
d = 2r OR r = d/2
given d = 10 in ∴ r = d/2 = 10/2 = 5 in
∴ The area of the circle = π r² = π * 5² = 25π ≈ 78.54 in²
The correct answer is the fourth option 78.54
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very important note:
There is a mistake in the dimension of the answers.
The dimension of the given diameter is inch , while the dimensions of the answers is square cm.
If it is required to find the area in square cm
∵ 1 inch = 2.54 cm
∴ r = d/2 = 10/2 = 5 in = 5 * 2.54 cm = 12.7 cm
∴ Area = π r² = π * (12.7)² = 161.29π ≈ 506.7 square cm
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
YOUR A BTS ARMY TOO? SAMEEEE OMGGG
Answer:
D. 220.16 Square feet
Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is 
. So we fill in this equation with the information we already know:
Simplify the exponents
Multiply
So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple 
which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.
1024-803.94= 220.16 square feet
