1. Determine the area of a regular decagon inscribed in a circle of radius 15 cm diameter. 2. A triangular piece of wood having dimensions 130 cm, 180 cm, and 190 cm is to be divided by a line bisecting the longest side drawn from its opposite vertex. What is the area of the part adjacent to the 180 cm side. 3. The parallel side of a trapezoidal lot measures 160 m and 240 m and are 40 m apart. Find the length of the dividing line parallel to the two sides that will divide the lot into two equal areas. 4. A piece of wire is shaped to enclose a square whose area is 169 sq cm. It is then reshaped to enclose a rectangle whose length is 15 cm. Determine the area of the rectangle. 5. A circle whose area is 452 sq. cm. is cut into two segments by a chord whose distance from the center of the circle is 6 cm. Find the area of the larger segment in sq. cm