Exam 9: Areas of Polygons and Circles

In kite HJKL , HJ = HL and JK = LK . If m = 90 ° , HJ = 12, and JK = 5, find the length of diagonal .

The diagonals of quadrilateral ABCD are perpendicular. If AC = 14 inches and BD = 25 inches, find the area of ABCD.

For the segment shown, let the center of the circle be point O. If the area of the related sector bounded by and and arc is 45 while the area of is 28 , find the area of the segment bounded by and .

In ,     and     . If AB = 16, BC = 12, and BH = 14, find the length of altitude to side .

The radius of an equilateral triangle measures 4 inches. Find the area of this equilateral triangle.

Using   3.14, find the approximate area of a circle with radius r = 10 cm.

A square is inscribed in a circle. If the area of the circle is 28.25 and the area of the square is 18 , find the area of the four-part region that lies outside the square but inside the circle.

Find the length of base in an isosceles triangle with perimeter 25 inches and length of leg8 inches.

A square has an area of 13 . What is the exact length of each side of the square?

The area of a circle is 27.5 . To the nearest tenth of a square inch, find the area of the square that is circumscribed about this circle.

The pentagon shown is composed of square ABCD and isosceles triangle BXC in which m = 90 ° . If AD = 4 cm, find the area of the pentagon.

Where R is the radius of the larger circle and r is the radius of the smaller circle, the area of the ring (or annulus)is given by A = .

In isosceles trapezoid HJKL ,     . If m = 45 ° , JK = 6 cm, and the length of an altitude is 4 cm, find the exact perimeter of HJKL .

Using     , find the approximate area of a circle with a diameter of length 7 inches.

For the triangle with sides of lengths a, b, and c, find an expression for the semiperimeter s of the triangle.

To the nearest tenth of a foot, find the circumference of a circle whose length of diameter is 12.6 feet.

Given that 1 foot = 12 inches, what is the number of square inches in 1 square foot?

A triangle has a perimeter of 40 and area of 60. Using A = rP , find the length of radius r for the inscribed circle for this triangle.

The area of the trapezoid with base lengths and and altitude h is given by A = h (  + ).

Given that 1 foot = 12 inches, find the number of square inches in one square foot.