Circles and Quadrilaterals - Question Bank
1. What is the geometric shape formed by connecting the midpoints of the sides of any quadrilateral in order?
2. A circle is tangent to all sides of a square. If the side of the square is 10 cm, what is the radius of the circle?
3. In a parallelogram ABCD, if angle A = 70 degrees, what is angle B?
4. What is the locus of points equidistant from two given points?
5. If a circle is circumscribed about a square with side length 's', what is the radius of the circle?
6. A quadrilateral has angles in the ratio 1:2:3:4. What is the measure of the largest angle?
7. What is the value of π (pi) approximately?
8. If a square is inscribed in a circle of radius r, what is the side length of the square?
9. What is the angle subtended by an arc of 60 degrees at the center of a circle?
10. A rectangle is inscribed in a circle of radius 5 cm. If the length of the rectangle is 8 cm, what is its width?
11. If the diagonals of a rhombus are 12 cm and 10 cm, what is its area?
12. What is the perimeter of a rectangle with length 10 cm and width 5 cm?
13. What is the area of a square with a side length of 8 cm?
14. A chord of length 16 cm is drawn in a circle of radius 10 cm. What is the distance of the chord from the center?
15. What is the length of the diameter of a circle with a radius of 12 units?
16. If a circle has a radius of 5 cm, what is its area?
17. If a circle has a radius of 7 cm, what is its circumference?
18. For a tangential quadrilateral, the sums of opposite sides are:
19. A circle is inscribed in a quadrilateral if it touches all four sides. Such a quadrilateral is called a:
20. What is the area of a rhombus if its diagonals are d1 and d2?
21. In a cyclic quadrilateral, opposite angles are:
22. A quadrilateral that can be inscribed in a circle is called a:
23. A circle passing through all the vertices of a quadrilateral is called a:
24. The diagonals of a square are:
25. The diagonals of a rhombus are:
26. The diagonals of a rectangle are:
27. A quadrilateral with two distinct pairs of equal adjacent sides is called a:
28. In a trapezium, the parallel sides are called:
29. A quadrilateral with exactly one pair of parallel sides is called a:
30. A rectangle with all sides equal is a:
31. A parallelogram with four right angles is called a:
32. A parallelogram with four equal sides is called a:
33. Which property holds true for a parallelogram?
34. A quadrilateral with opposite sides parallel is called a:
35. What is the sum of the interior angles of any quadrilateral?
36. What is a quadrilateral?
37. If two circles touch each other internally, the distance between their centers is equal to the difference of their:
38. If two circles touch each other externally, the distance between their centers is equal to the sum of their:
39. What is the maximum number of points a line and a circle can intersect at?
40. In a circle, angles subtended by the same arc at the circumference are:
41. What is the angle subtended by a diameter at any point on the circumference of a circle?
42. A line that intersects a circle at two distinct points is called a:
43. What is a line that touches a circle at exactly one point called?
44. A chord that passes through the center of a circle is known as its:
45. A line segment that connects two points on a circle is called a:
46. What is the formula for the area of a circle?
47. What is the formula for the circumference of a circle?
48. Which term represents the distance across a circle passing through its center?
49. What is the distance from the center of a circle to any point on its circumference called?
50. What is the term for the fixed point from which all points on a circle are equidistant?