Areas of Plane Figures — Engineering Board Exam Practice Questions

10 free engineering board exam reviewer questions on Areas of Plane Figures (Plane Geometry), each with the correct answer and a worked solution.

1. A square is inscribed in a semicircle of diameter 20 with one side lying on the diameter. Find the area of the square.
2. Three circles of radius 4 are mutually tangent. Find the area of the curvilinear region enclosed between them.
3. Four quarter-circles of radius 6 are drawn inside a square of side 12, each centered at a corner. Find the area of the square not covered…
4. A 12×5 rectangle is inscribed in a circle. Find the area of the circle.
5. Semicircles are drawn outward on the legs of a right triangle with legs 6 and 8, and a semicircle is drawn outward on the hypotenuse. Find…
6. Find the area of the ring between two concentric circles of radii 12 and 7.
7. A square is inscribed in a circle of radius 10. Find the area between the circle and the square.
8. An equilateral triangle is inscribed in a circle of radius 6. Find the area of the triangle.
9. A circle is inscribed in a square of side 10. Find the area of the square that lies outside the circle.
10. Find the area of a circle whose diameter is 14.