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US

140625

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Circle
Geometry

- OTHER
- When two circles touch, their centres
and the point of contact are collinear
- The products of the intercepts of two
intersecting chords are equal

- When two circles touch, their centres
and the point of contact are collinear
- CHORDS
- Chords of equal length subtend equal angles at
the centre of the circle
- Equal chords are equidistant
from the centre of the circle
- The perpendicular from the centre of a circle
to a chord bisects the chord
- The perpendicular bisector of a chord
passes through the centre of the circle

- The perpendicular bisector of a chord
passes through the centre of the circle

- Chords of equal length subtend equal angles at
the centre of the circle
- ANGLES
- Angles in the same
segment are equal
- The angle at the centre is twice the
angle at the circumference subtended
by the same arc
- The angle in a semi-circle is a right angle
- Opposite angles of a cyclic quadrilateral
are supplementary

- Angles in the same
segment are equal
- SECANTS & TANGENTS
- The angle between a tangent and radius
at the point of contact is 90 degrees
- The tangents to a circle from an external
point are equal in length
- The angle between a tangent and a chord at
the point of contact is equal to the angle in the
alternate segment
- The angle between the tangent and radius at
the point of contact is a right angle
- The product of the intercept of two intersecting secants to
a circle from an external point are equal
- The square of the tangent to a circle from an external point
equals the product of the intercepts of any secant from the point

- The angle between a tangent and radius
at the point of contact is 90 degrees

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