Circle Geometry
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Solomon Ekedolum
Used 2+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the radius and the diameter of a circle?
The diameter is twice the radius.
The diameter is half the radius.
The radius is twice the diameter.
The radius and diameter are equal.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
State the tangent-secant theorem and provide an example.
If a tangent segment is 3 units long and a secant segment is 4 units long with an external segment of 1 unit, then (3)^2 = (4)(1) which simplifies to 9 = 4, confirming the theorem.
If a tangent segment is 4 units long and a secant segment is 6 units long with an external segment of 2 units, then (4)^2 = (6)(2) which simplifies to 16 = 12, confirming the theorem.
If a tangent segment is 2 units long and a secant segment is 8 units long with an external segment of 4 units, then (2)^2 = (8)(4) which simplifies to 4 = 32, confirming the theorem.
If a tangent segment is 5 units long and a secant segment is 7 units long with an external segment of 3 units, then (5)^2 = (7)(3) which simplifies to 25 = 21, confirming the theorem.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a tangent from a point outside a circle measures 10 cm, what is the length of the tangent segment?
20 cm
15 cm
5 cm
10 cm
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the length of an arc given the radius and the central angle?
Arc Length = (Central Angle in Radians) * (Radius)
Arc Length = (Central Angle in Radians) + (Radius)
Arc Length = (Radius) / (Central Angle in Radians)
Arc Length = (Central Angle in Degrees) * (Radius)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain how to determine the angle formed by two tangents drawn from a point outside the circle.
The angle is equal to the diameter of the circle.
The angle is determined by the radius drawn to the point of tangency.
The angle is equal to the sum of the angles at the points of tangency.
The angle formed by the two tangents is equal to half the angle subtended by the line segment connecting the points of tangency at the center of the circle.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two chords intersect inside a circle, how do you find the lengths of the segments?
AE + EB = CE + ED
AE / EB = CE / ED
AE * EB = CE * ED
AE - EB = CE - ED
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the area of a sector of a circle?
A = πr²
A = (θ/360) * π * r²
A = (θ/180) * π * r²
A = 2πr
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