Draw a square and its inscribed and circumscribed circles. Find the ratio of the areas of these two circles.

Three circles with radii 6 are tangent to each other. Find the area of the region enclosed between them.

In $\triangle D E F, \quad m \angle F=42, \quad m \angle E=90, \quad$ and $D E=12$. Find $E F$ to the nearest integer.

How much will it cost to blacktop the driveway shown if blacktopping costs $\$ 11.00$ per square meter?

If the radius of the circle is 6 , find the area of the shaded region.

Using only a compass, construct the six-pointed figure shown at the right.

A path 2 m wide surrounds a rectangular garden 20 m long and 12 m wide. Find the area of the path.

A trapezoid of area $100 \mathrm{~cm}^2$ has bases of $5 \mathrm{~cm}$ and $15 \mathrm{~cm}$. Find the areas of the two triangles formed by extending the legs until they intersect.

$\overline{A M}$ is a median of $\triangle A B C$.

If $B C=16$ and $h=5$, find the areas of $\triangle A B C$ and $\triangle A M B$.

If the radius of the square is 2, find the area of the shaded region.

Draw a square. Then construct the figure shown at the right.

An isosceles trapezoid with bases 12 and 16 is inscribed in a circle of radius 10 . The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid.

The length of a rectangle is 12 cm more than its width. Find the area of the rectangle if its perimeter is 100 cm.

If the area of $\square P Q R S$ is 36 and $T$ is a point on $\overline{P Q}$, find the area of $\triangle R S T$. (Hint: Draw a diagram.