Four tangent circles centered on the x-axis are shown below. The radius of circle A is twice the radius of circle O. The radius
of circle B is three times the radius of circle O. The radius of circle C is four times the radius of circle O. All circles have integer radii. The point (63, 16) lies on circle C. What is the standard equation of circle A? A detailed explanation would be preferred :)
1 answer:
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By definition, the circumference of a circle is:
The area of a circle is:
Where,
r: radius of the circle.
When the radius is double, then the new area is:
Rewriting we have:
In terms of a we have:
Answer:
The new area of the circle in terms of a is:
The area of a circle is:
Where,
r: radius of the circle.
When the radius is double, then the new area is:
Rewriting we have:
In terms of a we have:
Answer:
The new area of the circle in terms of a is: