Quiz Answer Key and Fun Facts
1. "Equal arcs subtend equal angles at the centre of the circle", is a rule associated with circle geometry. Which other geometric part of a circle can be associated with this rule?
2. The quadrilateral ABCD lies within a circle, where points A, B and D all lie on the circumference and point C is the centre of the circle. If acute angle BCD is equal to 80 degrees, what is the size of acute angle BAD at the circumference?
3. Two scalene triangles, ABC and DEC lie within a circle, where they both touch at point C which lies above the centre of the circle, which is point O. Lines are drawn from the centre at O, forming equal radii AO and AD. Points A, B, D and E all lie on the circumference. From the two triangles, which corresponding pair of angles are equal?
4. AB is the diameter of a circle. If BC=2cm and AB=9cm, then what is the exact length of AC?
5. AB and CD are chords of a circle that intersect at point E. If AB=12.3cm, EB=2.7cm and DE=10.6cm, then what is the value of EC? (correct to 1 dec pl)
6. ABCD is a cyclic quadrilateral that lies inside a circle. If angle ABC is equal to 56, then what is the value of angle ADC?
7. The tangent to a circle is perpendicular to which other part of the circle at the point of contact?
8. One tangent to the circle at point A is 7cm long and meets at the external
point C. The second tangent to the circle at point B also meets at the external point C. How long is the tangent BC?
9. AB and AC are chords of a circle with a tangent at A. The angle between the tangent and the chord AC is equal to which other angle?
10. AB is a tangent to a circle, where point A lies on the circle and point B is an external point. Points C and D also lie on the circle, forming lines BC and BD, where BC is smaller than BD and the point C also lies on the line BD. CD is 1.3 cm and BC is 1.7 cm. What is the length of AB, correct to 1 decimal place?
Source: Author
dialga483
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rossian before going online.
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