Answer:
It is a right triangle.
So, using Pythagorean theorem: OS² = OR² - RS²
OR = r (radius) + 8
OS = r
RS = 16
=> r² = (r+8)² - 16²
r² = r² + 16r + 64 - 256
r² = r² + 16r - 192
16r = 192
r = 192 / 16 = 12cm²
a) 12 cm²
b) 12 + 8 = 20 cm²
Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
Answer:
Its B
Step-by-step explanation:
