Question Bank - Circles
Explore the properties, theorems, and applications of circles in geometry, including tangents, chords, and angles subtended by arcs.
What is a circle defined as?
Which term describes a line that intersects a circle at two points?
What type of line intersects a circle at exactly one point?
What is the radius of a circle?
If a line does not intersect a circle at all, what is this line called?
Which of the following is not a characteristic of a tangent to a circle?
How many tangents can be drawn to a circle from a point outside the circle?
In the context of a circle, what is an arc?
The line segment connecting two points on a circle is referred to as?
Which statement about a secant is true?
If a tangent is drawn to a circle, then which of the following is true?
What is the center of a circle?
Which of the following best describes a chord?
Which of the following defines a sector of a circle?
What is the relationship between a radius and a diameter?
What is the maximum number of tangents that can be drawn from a point outside a circle?
Which statement is true regarding a tangent to a circle?
If TP and TQ are tangents drawn from an external point T to a circle with center O, what angle do they form (∠PTQ) if ∠POQ is 60°?
A circle with a radius of 5 cm has a tangent that is 12 cm away from its center. What is the length of this tangent?
What is the relationship between the radii at points of tangency and the tangent line itself?
How many tangents can be drawn from a point located inside a circle?
If the length of a tangent drawn from a point P to a circle with center O is 9 cm and the distance from P to O is 15 cm, what is the radius of the circle?
A secant intersects a circle at points A and B. If the lengths of the segments from the intersection point outside the circle to A and B are 4 cm and 3 cm, respectively, what is the total length of the chord AB?
What do we call a quadrilateral that can be inscribed in a circle?
If two tangent lines from a single point to a circle are equal, what does this imply about the angles formed with the line connecting the points of tangency?
The length of tangents drawn to a circle from an external point are always ________.
Which quadrilateral can be inscribed in a circle?
What is the angle between two tangents drawn from a singular external point to a circle if the angle subtended at the center by the chord joining the points of contact is 40°?
Which geometrical figure represents the fixed points equidistant from a single point?
If a quadrilateral ABCD is a cyclic quadrilateral, opposite angles A and C must satisfy which property?
What is a tangent to a circle?
How many tangents can be drawn from a point outside a circle?
What is the relationship between a radius at the point of contact and the tangent?
From point P, the distance to a circle's center is 10 cm and the length of the tangent is 6 cm. What is the radius of the circle?
How many tangents can be drawn from a point lying inside a circle?
If two tangents are drawn from an external point to a circle, what is true about the lengths of those tangents?
What can be inferred about the angle between the two tangents drawn from an external point to a circle?
What is the point of contact in relation to a tangent?
If a secant intersects a circle at points A and B, what can be said about the line segment AB?
What is the definition of a tangent to a circle?
In the case of a tangent and a radius meeting, which angle is formed?
If a line is tangent to a circle, how does it relate to the radius at the point of contact?
If a line is drawn at a point on the circumference of a circle and that line is perpendicular to the radius, what can be concluded about this line?
From an external point, how many tangents can be drawn to a circle?
Which of the following statements about the length of two tangents drawn from the same external point to a circle is true?
What can be concluded about the lengths of the two tangents from an external point to a circle?
If a chord touches an inner circle at point P, what can be inferred about the chord and the inner circle?
If a radius and tangent meet at the point of contact, what angle is formed?
Given a circle and a secant intersecting at two points, what kind of line is created?
In a circle, a line intersects at point A, making angle θ with the radius. What is the value of θ if the line is a tangent?
Tangents can only be drawn from which position in relation to the circle?
What is true about the distance from the center of the circle to a tangent line?
If a circle has a radius of 5 cm, what is the length of a tangent from a point 5 cm from the center of the circle?
What is the relationship between the distance to the center of the circle and the tangent line when the radius is known?
A tangent to a circle is drawn at point P. If point Q lies on the same tangent, what can you say about the distances from P to Q?
In what scenario can two tangents be drawn to a circle from an external point?
A circle has a radius of 10 cm. What is the length of each of the tangents drawn from a point that is 10 cm away from the center?
How do you find the length of a tangent from a point located 8 cm from the center of a circle with a radius of 6 cm?
What can the angle between two intersecting tangents from a single point to a circle indicate?
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