This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 10 Circles – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 10 Circles Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the fix point of the circle known as A) Circle. B) Point on the circle. C) Exterior point. D) Center. Show Answer Correct Answer: D) Center. 2. Number of tangents to a circle which are parallel to a given secant is/are ..... A) 1. B) 2. C) 3. D) Infinite. Show Answer Correct Answer: B) 2. 3. What is the center and the radius of the circle with equation, (x-4)$^{2}$ + (y-2)$^{2}$ = 25 A) Center is (5, 2) and radius is 4. B) Center is (2, 5) and radius is 4. C) Center is (2, 4) and radius is 5. D) Center is (4, 2) and radius is 5. Show Answer Correct Answer: D) Center is (4, 2) and radius is 5. 4. What is the definition of a secant? A) A line segment whose endpoints are on the circle. B) A line that intersects a circle in one point. C) A line that intersects a circle in two points. D) A line segment which intersects the circle at the point of secancy. Show Answer Correct Answer: C) A line that intersects a circle in two points. 5. The distance from a center of a circle to a point on the circle A) Radius. B) Diameter. C) Circumference. D) Pi. Show Answer Correct Answer: A) Radius. 6. The distance around a circle A) Area. B) Diameter. C) Circumference. D) Radius. Show Answer Correct Answer: C) Circumference. 7. Which of the following is the equation of acircle with center (4, -5) and passing through the point (16, 3)? A) $\left(x-4\right)^2+\left(y+5\right)^2=208$. B) $\left(x-4\right)^2+\left(y+5\right)^2=14.42$. C) $\left(x+4\right)^2+\left(y-5\right)^2=208$. D) $\left(x+4\right)^2+\left(y-5\right)^2=832$. E) $\left(x-4\right)^2+\left(y+5\right)^2=404$. Show Answer Correct Answer: A) $\left(x-4\right)^2+\left(y+5\right)^2=208$. 8. Which is known as logenst chord of the circle A) Circumfrence. B) Diameter. C) Radius. D) Tangent. Show Answer Correct Answer: B) Diameter. 9. A circular bracelet has a diameter of 6 cm. What is the bracelet's radius? A) 12 cm. B) 36 cm. C) 3 cm. D) 3.3 cm. Show Answer Correct Answer: C) 3 cm. 10. In a circle, if a radius or diameter is perpendicular to a chord, then it ..... the chord and its arc. A) Equals. B) Bisects. C) Arcs. D) Circles. Show Answer Correct Answer: B) Bisects. 11. A ..... is a line, ray, or segment that intersects a circle at two points. A) Tangent. B) Secant. C) Radius. D) Arc. Show Answer Correct Answer: B) Secant. 12. If the sum of a pair of opposite angles of a quadrilateral is ..... , the quadrilateral is cyclic A) 180 degree. B) 90 degree. C) 360 degree. D) None of these. Show Answer Correct Answer: A) 180 degree. 13. What is the center of the circle with equation x$^{2}$ + y$^{2}$ = 1? A) (1, 1). B) (0, 0). C) (0, 1). D) Not enough information. Show Answer Correct Answer: B) (0, 0). 14. An arc that measures less than 180 degrees A) Minor Arc. B) Major Arc. C) Arc. D) Angle. Show Answer Correct Answer: A) Minor Arc. 15. Find the area of a circle with a diameter of 28 feet. Use 3.14 for pi. A) 2461.76 feet squared. B) 87.92 feet squared. C) 615.44 feet squared. D) 175.84 feet squared. Show Answer Correct Answer: C) 615.44 feet squared. 16. Equal ..... of the congruent circles subtend equal angles at the centers. A) A. Segments. B) B. Radii. C) D. Chords. D) Arcs. Show Answer Correct Answer: C) D. Chords. 17. Find the area of the circle, round to nearest tenth:r = 15 cm A) 70.65 cm$^{2}$. B) 706.5 cm$^{2}$. C) 176.6 cm$^{2}$. D) 705 cm$^{2}$. Show Answer Correct Answer: B) 706.5 cm$^{2}$. 18. Which of the following is theorem 10.8 A) Equal chord of a circle subtend equal angle at centre. B) Angle subtend by an arc at the centre is double the angle subtend by it at any point on the remaining part of the circle. C) Equal chord of a circle subtend not equal angle at centre. D) Angle subtend by an arc of a circle. Show Answer Correct Answer: B) Angle subtend by an arc at the centre is double the angle subtend by it at any point on the remaining part of the circle. 19. Determine the center and radius:x$^{2 }$+ y$^{2 }$+ 14x-2y =-1 A) Center= (-7, 2) radius= 3. B) Center= (-7, 1) radius= 7. C) Center= (-4, 1) radius= 5. D) None of the above. Show Answer Correct Answer: B) Center= (-7, 1) radius= 7. 20. If a circle has a diameter of 16 ft. then which statement is true? A) The radius is 8 ft. B) The diameter is 8 ft. C) The radius is 32 ft. D) The diameter is 32 ft. Show Answer Correct Answer: A) The radius is 8 ft. 21. In the equation (x-3)$^{2}$+(y-2)$^{2}$=16, the center of the circle is ..... A) (3, 2). B) (-3, -2). C) (-2, -3). D) (2, 3). Show Answer Correct Answer: A) (3, 2). 22. "COVER UP" A) Perimeter. B) Area. C) Volume. D) None of the above. Show Answer Correct Answer: B) Area. 23. The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the diameter of the tunnel opening in meters? A) $\pi\cdot36=d$. B) $\frac{36}{2\pi}=d$. C) $2\cdot\pi\cdot36=d$. D) $\frac{36}{\pi}=d$. Show Answer Correct Answer: D) $\frac{36}{\pi}=d$. 24. Find the area of the circle, round to nearest tenth:r = 12 in A) 452.2 in$^{2}$. B) 45.2 in$^{2}$. C) 113.0 in$^{}$. D) 450 in$^{2}$. Show Answer Correct Answer: A) 452.2 in$^{2}$. 25. The longest chord of a circle is a ..... of the circle. A) Diameter. B) Semicircle. C) Chord. D) Sector. Show Answer Correct Answer: A) Diameter. 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