91Ó°ÊÓ

When the diagonals of rhombus \(M N P Q\) are drawn, how do the areas of the four resulting smaller triangles compare to each other and to the area of the given rhombus?

In a regular polygon, each interior angle measures \(135^{\circ}\). If each side of the regular polygon measures \(4.2 \mathrm{cm},\) find the perimeter of the polygon.

Find the approximate lengths of the radius and the diameter of a circle whose circumference is: a) 88 in. (Use \(\pi \approx \frac{22}{7}\).) b) \(157 \mathrm{m}\) (Use \(\pi \approx 3.14\) )

Find the exact lengths of the radius and the diameter of a circle whose area is: a) \(25 \pi\) in \(^{2}\) b) \(2.25 \pi \mathrm{cm}^{2}\)

For a regular hexagon, the length of the apothem is \(10 \mathrm{cm}\) Find the length of the radius for the circumscribed circle for this hexagon.

For a regular hexagon, the length of the radius is 12 in. Find the length of the radius for the inscribed circle for this hexagon.

Find the exact length of the radius and the exact circumference of a circle whose area is: a) \(36 \pi \mathrm{m}^{2}\) b) \(6.25 \pi \mathrm{ft}^{2}\)

Use Heron's Formula. Find the area of a triangle whose sides measure 13 in., 14 in., and 15 in.

In a particular type of regular polygon, the length of the radius is exactly the same as the length of a side of the polygon. What type of regular polygon is it?

Find the exact length of the radius and the exact circumference of a circle whose area is: a) \(36 \pi \mathrm{m}^{2}\) b) \(6.25 \pi \mathrm{ft}^{2}\)