Question

(x – 5)² + (y + 11)² = 49

a. What type of conic is this?
b.What is the center?
c. What is the radils?
d. What is the area of this shape?
Help pleaseee

Answer 1

See below for answers and explanations

Explanation:

Part A

The equation is in the form of
`(x-h)^2+(y-k)^2=r^2`, which happens to be the equation of a circle

Part B

For the equation of the circle, its center is at
`(h,k)\rightarrow(5,-11)`

Part C

Since
`r^2=49`, then the radius of the circle is
`r=7`

Part D

The area of a circle is
`A=\pi r^2`, so the area is
`49\pi` square units.