Engineering Board Exam Reviewer · Areas of Plane Figures · medium

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 by the quarter-circles.

  1. 113.1
  2. 72
  3. 30.9
  4. 15.45

Answer

C. 30.9

Solution

The four quarter-circles together make one full circle, π(6)2=113.10. Uncovered area =144-113.10=30.90.

More Areas of Plane Figures questions

  1. A 12×5 rectangle is inscribed in a circle. Find the area of the circle.
  2. 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…
  3. Find the area of the ring between two concentric circles of radii 12 and 7.
  4. A square is inscribed in a circle of radius 10. Find the area between the circle and the square.
  5. An equilateral triangle is inscribed in a circle of radius 6. Find the area of the triangle.
  6. A circle is inscribed in a square of side 10. Find the area of the square that lies outside the circle.
  7. Find the area of a circle whose diameter is 14.
  8. A square is inscribed in a semicircle of diameter 20 with one side lying on the diameter. Find the area of the square.
  9. Three circles of radius 4 are mutually tangent. Find the area of the curvilinear region enclosed between them.

All Areas of Plane Figures questions