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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9514 1404 393
Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
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The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
