Method 1: In order to find out the area of an octagon with a radius of 4 feet, we have to split the whole figure into 8 equal isosceles triangles.
Therefore,
We will find out the area of one triangle and multiply the area with 8 to, figure out the area of the whole octagon there are 8 similar triangles and all of them will have the same area.
Method 2: From method 1, it would take time as there are too much of calculation, therefore we would go for the shortcut using the formula:
Area = 2√2 × r²
where r<span> is the radius of the octagon.
Substituting the values,
We get:
</span>
Area = 2√2 × 4²
Area = 2√2 × 16
Area = 2× 1.41 × 16
Area = 2.828 × 16
Area = 45.25
Rounded to the nearest tenth:
Area = 45.3 ft²
Answer:
(x -1)² +(y -4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is ...
(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
The graph shows your circle has its center at (1, 4) and its radius is 5. Then the equation is ...
(x -1)² +(y -4)² = 25
Answer:

Step-by-step explanation:
we know that
The probability that a point chosen randomly inside the rectangle is in the square is equal to divide the area of the square by the area of rectangle
Let
x-----> the area of square
y----> the area of rectangle
P -----> the probability

<em>Find the area of square (x)</em>

<em>Find the area of rectangle (y)</em>

Find the probability P

Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation:
Answer: 8.5
Step-by-step explanation: 8.5 because 34 divided by 4 is 8.5. To find the unit rate, make 4 hours turn to 1 hour. To do that, divided 4 by 4. Do the same with the other number, which is 34. 34 divided 4 is equal to 8.5