Circles — Practice Quiz
Gujarat Board · Class 10 · Mathematics
Try a 4-question quiz on Circles for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why. 42 questions in the full chapter test.
Interactive on Super Tutor
Studying Circles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
Free trial, no card needed.
Quick Quiz: Circles
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
A circle has center O and radius 5 cm. A tangent AB touches the circle at point P. If OP = 5 cm, what is the angle ∠OPA?
From an external point P, two tangents PA and PB are drawn to a circle with center O. If PA = 12 cm, what is the length of PB?
A circle has radius 8 cm. From a point P outside the circle, a tangent of length 15 cm is drawn. What is the distance from P to the center of the circle?
In a circle with center O and radius 6 cm, a chord AB subtends an angle of 60° at the center. If a tangent is drawn at point A, what is the angle between the tangent and chord AB?
Sample Questions
Which of the following statements about tangents to a circle are correct?
Show answer
A tangent touches the circle at exactly one point, From an external point, exactly two tangents can be drawn, A tangent is perpendicular to the radius at the point of contact
The first three statements are fundamental properties of tangents. The fourth is incorrect because no tangent can be drawn from a point inside the circle.
From point P, tangents PA and PB are drawn to a circle. If ∠APB = 80°, what is ∠AOB where O is the center?
Show answer
100°
In quadrilateral PAOB, ∠OAP = ∠OBP = 90° (tangent perpendicular to radius). Sum of angles in quadrilateral = 360°. So ∠AOB = 360° - 90° - 90° - 80° = 100°.
A line is drawn at distance 5 cm from the center of a circle with radius 3 cm. How many points of intersection does the line have with the circle?
Which of the following distances from the center to a line would make the line tangent to a circle with radius 7 cm?
Show answer
7 cm, 7.0 cm
A line is tangent to a circle when the distance from the center to the line equals the radius. Since radius = 7 cm, the distance must be exactly 7 cm.
+38 more questions on Circles (Gujarat Board Class 10 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Circles for Gujarat Board Class 10 Mathematics?
How many practice questions are there for Circles?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Circles
For serious students
Get the full Circles chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Gujarat Board Class 10 Mathematics. Free to start, no card needed.