# The areas of two circles are in the ratio 16 to 9. What are the ratio of their radii?

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The ratio of the radii of the two circles is 4:3.

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- A triangle has corners at #(9 , 2 )#, #(4 ,7 )#, and #(5 ,8 )#. What is the radius of the triangle's inscribed circle?
- A circle C has equation #x^2+y^2-6x+8y-75=0#, and a second circle has a centre at #(15,12)# and radius 10. What are the coordinates of the point where they touch?
- What is the equation of the circle with a center at #(-4 ,6 )# and a radius of #3 #?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #pi/6 #, and the triangle's area is #9 #. What is the area of the triangle's incircle?
- A triangle has corners at #(5 , 2 )#, #(2 ,3 )#, and #(3 ,4 )#. What is the radius of the triangle's inscribed circle?

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