Two circles are constructed; one is inscribed inside a given regular hexagon, and the other is circumscribed about the same hexagon.

The inscribed circle has circumference . Give the area of the circumscribed circle.

Two circles are constructed; one is inscribed inside a given square, and the other is circumscribed about the same square.

The circumscribed circle has circumference . Give the area of the inscribed circle.

What is the area of a circle with a diameter of ?

Two circles are constructed; one is inscribed inside a given square, and the other is circumscribed about the same square.

The inscribed circle has circumference . Give the area of the circumscribed circle.

Two circles are constructed; one is inscribed inside a given equilateral triangle, and the other is circumscribed about the same triangle.

The inscribed circle has circumference . Give the area of the circumscribed circle.

The arc of a circle measures . The chord of the arc, , has length . Give the length of the radius of the circle.

A arc of a circle measures . Give the radius of this circle.

The arc of a circle measures . The chord of the arc, , has length . Give the length of the radius of the circle.

The points and form a line which passes through the center of circle Q. Both points are on circle Q.

To the nearest hundreth, what is the length of the radius of circle Q?

Two circles are constructed; one is inscribed inside a given equilateral triangle, and the other is circumscribed about the same triangle.

The circumscribed circle has circumference . Give the area of the inscribed circle.