Geometry Questions
Circle geometry covers chords, radii, diameters, tangents, and relationships between angles and distances. Practise theorem-based questions and use diagrams and geometric properties to find unknown lengths and angles.
12 questions
- PT is a tangent at point C on a circle with centre O and AB is a diameter. When BA is produced, it meets PT at point P. If ∠BPC…
- The number of chords that can be drawn through a point on a circle is:
- A chord of length 8 cm is 3 cm from the center. Find the radius.
- In triangle PQR, O is incentre. ∠QOR = 110°. Find ∠QPR.
- The slope of a line is -5. If the line passes through the point (2, 3), what is its equation?
- Two identical circular plates, each at their maximum size, are cut from a circular sheet of paper with a circumference of 352 cm. The circumference of each circular plate is
- Two triangles are similar. The ratio of their corresponding side lengths is 3:5. If the length of an altitude of the smaller triangle is 6 cm, what is the length…
- What is the slope of the line that passes through the points (2, 4) and (6, 10)?
- Two similar triangles have areas in the ratio of 49:81. What is the ratio of their corresponding altitudes?
- In \(\triangle ABC\), the coordinates of the vertices are A(1,1), B(5,5), and C(1,9). Find the coordinates of the centroid.
- A line passes through the point (5, 7) and has a slope of -1. What is the equation of the line?
- A chord of a circle measures 16 cm in length, and the perpendicular distance from the center of the circle to the chord is 6 cm. What is the radius…