Answer:
1. Radius = 84.65 in
2. Circumference = 531.65 in
3. Diameter = 169.3 in
Step-by-step explanation:
1] In order to find the area of a circle, we use the formula
Area of a circle = πr²
Where r is the radius. So substitute the value of the area of the circle in the formula, to find the radius r.
22511 = π r²
r² = 22511 ÷ π
r = 
<u>r = 84.65 in</u>
2] Now that we found the radius, we can easily find the circumference using the formula:
Circumference of a circle = 2πr
Substitute the value of r in the formula.
Circumference = 2 × π × 84.65
<u>Circumference = 531.87 in</u>
3] The diameter is twice the radius, so:
diameter = r × 2
diameter = 84.65 × 2
<u>diameter = 169.3 in</u>
Absolute value inequalities can be divided into two inequalities
if you had |x| > n
then it could be divided into
x>n & x<-n
Answer:
123,458,798
Step-by-step explanation:
You cut the figure into a square and a triangle like you started to.
Then you are given the length of the square as 10. The side length of 5 is only half of the far right side. Double the 5 to get a height of 10.
So right now, you have a square with side lengths of 10. The are of a square is side x side. That means that the area of the square is 10 x 10 = 100 units^2
But we are not finished yet.
Now on to the area of the triangle
Since you know the base of the triangle (right side where you cut the figure into triangle and square) is 10 (because it is equal to the side length of the square) and the height ( dashed line ) is 17, but it is 17 minus the width of the square (10).
So, the triangle's dimensions are a base of 10 and a height of 7.
Area of the triangle is found by Base x Height.
So the area of the triangle is 70 units^2.
Now to find the whole area, you add both of the figures we just found. Add 100 + 70 = 170 units^2!!!
I hope this helped!
