Circle Theorems (Leaving Cert Mathematics): Quizzes

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Circle Theorems
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What is a tangent to a circle?

A line meeting circle at one point

What is the angle in a semicircle?

90°90°

What happens when a perpendicular is drawn from the centre to a chord?

It bisects the chord

What angle does a tangent make with the radius at the point of contact?

90°90°

What is a chord of a circle?

Line segment joining two points on circle

Radius =13=13, perpendicular distance from centre to chord =5=5. Find half the chord length.

1212

If line ℓℓ is perpendicular to radius at point PP on circle, what is ℓℓ?

A tangent

What type of triangle is formed by two radii and a chord?

Isosceles

Triangle ABCABC has ABAB as diameter. Point CC is on the circle. Find ∠ACB∠ACB.

90°90°

Two circles touch at one point. What is true about their centres and the contact point?

They are collinear

What is the single point where a tangent touches a circle called?

Point of contact

Chord length =12=12 cm, perpendicular distance from centre =5=5 cm. Find radius.

61\sqrt{61} cm

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