91Ó°ÊÓ

Find the exact circumference and area of a circle whose radius has length 8 cm.

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

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

Use your calculator value of \(\pi\) to find the approximate circumference of a circle with radius length 12.38 in.

Use your calculator value of \(\pi\) to find the approximate area of a circle with radius length 12.38 in.

Find the area of a square with apothem \(a=3.2 \mathrm{cm}\) and perimeter \(P=25.6 \mathrm{cm}\)

A triangle with sides of lengths 3 in., 4 in., and 5 in. has an area of 6 in \(^{2}\). What is the length of the radius of the inscribed circle?

A rectangle has a perimeter of 16 in. What is the limit (largest possible value) of the area of the rectangle?

Use the formula \(A=\frac{1}{2} a P\) to find the area of the regular polygon described. Find the area of a regular pentagon with an apothem of length \(a=5.2 \mathrm{cm}\) and each side of length \(s=7.5 \mathrm{cm}\)

Find the ratio \(\frac{A_{1}}{A_{2}}\) of the areas of two similar triangles if a) the ratio of the lengths of the corresponding sides is \(\frac{s_{1}}{s_{2}}=\frac{3}{2}\) b) the lengths of the sides of the first triangle are 6 in., 8 in., and 10 in., and those of the second triangle are 3 in., 4 in., and 5 in.