Geometry

How many sides has a polygon if each interior angle is 165 degrees?

• 32

• 24

• 42

• 28

Which of the following regular polygons has 27 diagonals?

• Nonagon

• Hexagon

• Pentagon

• Heptagon

Find the area of a regular pentagon whose apothem is 17.2 cm.

• 1075

• 1010

• 1142

• 1067

A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and concentric to the larger pentagon. Determine the area inside and concentric to the larger pentagon but outside of the smaller pentagon.

• 430.70

• 473.77

• 573.26

• 516.14

The area of the sector of circle having a central angle of 60 degrees is 24 pi. Find the perimeter of the sector.

• 36.56 cm

• 23.45 cm

• 43.27 cm

• 54.37 cm

Find the area of a washer formed by two concentric circles whose chord outside the small circle is 10 cm.

• 25pi

• 100pi

• 36pi

• 10pi

The areas of two squares differ by 5 sq.ft. and their perimeters differ by 4 ft. Determine the sum of their areas.

• 13

• 14

• 27

• 28

An isosceles trapezoid has two base angles of 45 deg and its bases are 6 and 10. Find its area.

• 16

• 10

• 18

• 24

The lateral area of a right prism is 162 sq.m. and the base is a rectangle 3 by 6 m. Find the altitude of the prism.

• 7

• 8

• 9

• 10

The base area of a circular cylinder is 12 cm2 and an element of the cylinder is 10 cm. Find the volume of the cylinder if the element is inclined to the base at an angle of 60 deg.

• 103.92

• 207.24

• 301.42

• 194.24