If the radius of a circle doubles, will the measure of a sector of that circle double? Will it double if the arc measure of that sector doubles?

A raised garden is shaped like a parallelogram with two sides that meet at a 45 degree angle. The garden has an area of 84sqrt(2) square feet and a base of 14 feet. What is the perimeter of the garden in feet?

A circle is inscribed in a square. The diameter of the circle is 12 inches and is equal to the length of the sides of the square. If the circle is cut out of the square, what is the area of the remaining part of the square? Round your answer to the nearest tenth.

Ben uses software to draw a right triangle with a hypotenuse that has endpoints at (6,0) and (0,6). What is the are of the triangle in square units?

Ben uses software to draw a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle with a hypotenuse that is $3 \sqrt{2}$ inches long. Then he uses the software to double all the dimensions of the triangle. What is the area of the new triangle, in square inches?

Refer to the previous exercise. Is the area of a sector of a circle sometimes, always, or never greater than the area of its corresponding segment?

A right prism has a height of $h$ units and a base that is an equilateral triangle of side $\ell$ units. Find the general formula for the total surface area of the prism. Explain your reasoning.

Find the area of the shaded region. Round to the nearest tenth.

The given figure is a 35 cm diameter donut with an unshaded angle of $160^{\circ}$, and a shaded region on the donut that measures 10.5 cm in length.

Determine whether the following statement is true or false. Explain your reasoning. A regular polygonal pyramid and a cone both have height $h$ units and base perimeter $P$ units. Therefore, they have the same total surface area.

The area of parallelogram STUV is 4 times the area of parallelogram $M N P Q$.

Parallelogram $M N P Q$ $h=8$ ft $\overline {QP}=17$ ft

Parallelogram $S T U V$ $h=16$ ft

What is the length of $\overline{V U}$?

F. 68 ft G. 34 ft H. 32 ft J. 25 ft

In this exercFind the area of the figure given below and then round to the nearest tenth.

Classify the following statement as sometimes, always, or never true. Justify your reasoning. The surface area of a cone of radius $r$ and height $h$ is less than the surface area of a cylinder of radius $r$ and height $h$.

Kristen and Chase want to find the area of the shaded region in the circle shown. Is either of them correct? Explain your reasoning.

A parallelogram is in the shape of a rectangle. The parallelogram has a length of 7.5 meters and a width of 6.5 meters. What is the perimeter and area of the parallelogram? A. 19 meters and 36 square meters, B. 21 meters and 40 square meters, C. 25 meters and 50 square meters, D. 28 meters and 48.75 square meters