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6. Circle A has a radius of 10 units and Circle B has a radius of 5 units. The center of Circle B is on the circumference of Circle A. What is the difference between the area which is within A but not B and the area which is within B but not A. Put your answer as a multiple of Pi.
30. Marna baked a batch of brownies in a 9x12 pan. She then decided to created a giant ice cream sandwich by cutting two congruent circular brownies out of the pan and placing a wedge of chocolate chip ice cream between them. What is the radius of the largest circular brownies she can cut? Express you answer as a common fraction in simplest radical form
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You're making me nervous! That comes out to ~3.1066 ; how did you get that?
By the way, your bracketing is not correct; should be: (15√2 - 15) / 2
I get (21 - SQRT(216) / 2 = ~3.1515 ; quite close to yours...
If we make the rectangle's sides a and b, then:
maximum radius of 2 inscribed circles = [a + b - SQRT(2ab)] / 2
Call it whatever you want: it's the solution to your problem.
If it hasn't been used before (which I doubt), then I'm sure I'll get no Nobel prize!
Get some graph paper and try it using a 16 by 18 rectangle:
you'll get an exact 5 as radius of circles, which you'll be able
ti "fit in" perfectly; each circle is tangent to 2 sides,
plus the circles are tangent to each other...
Okay but I probably got this wrong,I didn't look at the other answers or replies people gave because I want to figure this out too!!
Okay so, Circle A has a radius of 10 units and Circle B has a radius of 5 units. (That means A is bigger then B right?)
The center of Circle B is on the circumference of Circle A. What is the difference between the area which is within A but not B and the area which is within B but not A.
(That means it would be 5 units in difference)
Put your answer as a multiple of Pi. I don't know how to put it in pi! So can anyone tell me? I'm super stuck too.
Marna baked a batch of brownies in a 9x12 pan. She then decided to created a giant ice cream sandwich by cutting two congruent circular brownies out of the pan and placing a wedge of chocolate chip ice cream between them. What is the radius of the largest circular brownies she can cut? Express you answer as a common fraction in simplest radical form
I don't get how this is possible either cause there are two congruent circle shaped brownies but it never tells you the radius of those brownies! D: