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If the area of a square is 144, what is the perimeter of the square? If a square and a circle have the same perimeter, which of them will have a greater area?

True or false?

A circle can be inscribed in a kite.

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by **Brilliant Staff**

What is the value of \(y\) in the diagram shown? (HINT: Think ratios)

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Given the two circles with center P and the equilateral triangle shown, if the value of \(x,\) the radius of the larger circle, is 8, what is the value of \(y,\) the radius of the smaller circle?

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by **Brilliant Staff**

In the triangle shown, the three line segments meet at the centroid of the triangle. How many times greater is the product \(abc\) than the product \(xyz?\) (HINT: The centroid of a triangle trisects each line segment)

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by **Brilliant Staff**

Given that AB is the diameter of the circle shown, what is the approximate value of AC?

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by **Brilliant Staff**

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