A circle with center O intersects another circle with center P at points C and D. if angle COD = 30 and angle CPD = 60, what is the ratio of the area of the circle with center O to the area of the circle with center P?
Answer= 1: (2-√3)
Can someone paint me a picture of this because I don't completely understand this question.
O then I'm not sure but I can tell you how I approached the problem. First draw out the problem.
Then I gave line CD value of 1.
now using this info and that angle cpd is 60 degrees I figure out the radius for the circle with center is 1. Then I used the equation to find area of a circle and got the area to be 1pi.
Now I use the same idea for the other circle. To find the radius of the other circle is a bit harder so I used the law of sines
Can you finish up from here
Hello, shane99!
Here's the diagram ... without the circles.A circle with center intersects another circle with center at points and
If and
what is the ratio of the area of the circle to the area of the circle ?
Answer: .
Code:C * R * | * * | * r * | * O * 30° d| 60° * P * | * * | * r R * | * * D
The radius of circle is
The radius of circle is
The ratio of the areas is: .
Apply the Law of Cosines to and
. .
. .
Therefore: .