Answer:
Step-by-step explanation:
The central angle of the segment is 60 degrees. Line CD is the same length as the radius and there are 3 sides with the same length. The triangle so formed is equilateral and the apex angle is 60 degrees which is the central angle.
The measure of arc CD is 60 degrees.
Answer:
Step-by-step explanation:
The standard form of a circle is
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:
and
so
Our circle's equation is
Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:
![4^2+4^2=25](https://tex.z-dn.net/?f=4%5E2%2B4%5E2%3D25)
Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because
![4^2+4^2>25](https://tex.z-dn.net/?f=4%5E2%2B4%5E2%3E25)
If the inequality < were true then the point would lie inside.
When multiplying out you get:
x2+4x-3x-12....
so you'd be adding the +4x to the -3x
x2 + x - 12
Answer:
558
Step-by-step explanation:
930
x 0.40
-------------
372
Next
372
-930
-----------
558
Hope this helped!
Surface Area = 2πr² + 2πrh
Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²
Answer: 308π in²