The line y = 3x + c is a tangent to the circle x² + y² = 40. What is the value of c?
2 answers:
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Answer:
Step-by-step explanation:
Alright, lets get started.
This is the combination of three figures semi circle, rectangle and triangle.
We will find the area of each figure and will add them.
The radius of the circle is half of the diameter, so radius is 6.
Area of semi circle will be :
Area of semi circle is : 56.52
Area of rectangle is:
So, area of rectangle is:
Area of triangle is :
So, area of triangle is :
Adding all these three areas, the area of above figure will be:
[tex]Area = 56.52+480+30
Hence Area is 566.52............... Answer