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Circle Properties and Terminology — Free MYP1 Mathematics Practice Questions
1QuestionDrawing Circles with Compass and RulerConcept Practice
3 marks~5 minCriterion A
A circle is drawn with centre . Point lies on the circumference. The distance cm.
a
Name the distance . [1]
b
Describe, in one sentence, how the diameter and the radius of a circle are related. [1]
c
Calculate the diameter of the circle. [1]
Solutions
2QuestionNaming Parts of a Circle Radius Diameter Chord ArcConcept Practice
4 marks~6 minCriterion D
A circular fountain in a park has a radius of 3 m.
a
Name the formula that links radius and diameter. [1]
b
Calculate the expected diameter of the fountain. [1]
c
A worker measures the actual diameter as 5 m. Describe one difference between the expected diameter and the actual diameter. [2]
Solutions
3QuestionExploring Tangents and Secants IntroductoryConcept Practice
4 marks~6 minCriterion C
The diagram shows a circle with centre O. A radius is drawn to point T on the circle. A tangent line touches the circle at point T.
a
Name the type of angle formed between the radius OT and the tangent line at point T. [1]
b
Describe what a tangent line does at the point where it meets a circle. [1]
c
The corner of a square and the angle between a radius and a tangent both measure . Describe one way they are the same and one way they are different. [2]
Solutions
4QuestionSymmetry and Angle Properties in CirclesConcept Practice
4 marks~6 minCriterion B
The diagram shows a circle with centre . A line segment is drawn from to the circumference, and a second line segment is drawn from to a different point on the circumference.
a
Name the type of line segment shown. [1]
b
Describe what a diameter is, using the word radius in your answer. [1]
c
Compare the two line segments drawn from centre to the circumference. Describe what is the same and what would happen if you drew more line segments like these in the same circle. [2]
Solutions
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