Answer: The area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.
Step-by-step explanation:
Let r be the radius of the circle having the center O,
⇒ The area of the circle = 
square unit.
And, the central angle AOB = 
( since, 
= 180° )
Hence, the area of sector AOB
square unit.
Now,
⇒ Area of sector AOB = 5/8 × Area of the circle.
Hence, the area of the sector formed by central angle AOB is 5/8 th of the total area of the circle.
Answer:
Option A:
x^2 + (y - 2)^2 = 9
Step-by-step explanation:
We know that the equation for a circle centered in the point (a, b) and of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
So the first thing we need to find is the center of the circle.
We can see that the center is at:
x = 0
y = 2
Then the center is at the point (0, 2)
Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.
So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:
And the radius of the smaller circle is one unit.
Then, the radius of a circle centered at (0, 2) that passes through point 2 is:
R = 1 + 2 = 3
Then we have a circle centered at (0, 2) and of radius R = 3
Replacing these in the equation for a circle we get:
(x - 0)^2 + (y - 2)^2 = 3^2
x^2 + (y - 2)^2 = 9
The correct option is A
Answer:
4.91 hope this helps :D
Step-by-step explanation:
Answer:
431,707
Step-by-step explanation:
To figure out the total number, you need to divide the part of the whole by the percentage it is of the whole. This means that you need to divide 35,400 by 8.2%.
Before dividing the percentage, you need to convert it to a decimal.
8.2% = 0.082
Divide the number to find the answer.
35,400/0.082 = 431,707.3
Converted to the nearest whole number, the answer is 431,707.
