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Properties of Circles

What is pi? If the area of a circle is 49π, what is its circumference? If a circle is inscribed in a square, what is the ratio of the areas of the circle and the square?

Properties of Circles Warmup


The paper fan shown was cut from a circle whose area is \(18\pi.\) What is the area of the fan?

In the square above, what is the area of the section shaded green?

A quarter circle has the same area as a circle with a radius of 4. What is the radius of the quarter circle?

What percent of the sector is shaded grey?

A small circle rolls around the edge of a larger circle exactly 11 times to return to its starting location. If the large circle has a diameter of 20, what is the radius of the smaller red circle?


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