Angle in Semicircle Flashcards

GCSE Mathematics (Edexcel) 1MA1

Angle in a semicircle

The angle subtended by a diameter at the circumference of a circle is always 90° (a right angle).

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Terms in this set (10)

1

Angle in a semicircle

The angle subtended by a diameter at the circumference of a circle is always 90° (a right angle).

2

Diameter of a circle

A straight line passing through the centre of the circle, connecting two points on the circumference.

3

Subtended angle

An angle formed at a point on the circumference by two lines drawn from the ends of a chord or diameter.

4

Right angle in a semicircle

The angle formed at the circumference by a diameter is always a right angle (90°).

5

Centre of a circle

The point equidistant from all points on the circumference of the circle.

6

Chord

A straight line joining two points on the circumference of a circle.

7

Cyclic quadrilateral

A quadrilateral where all four vertices lie on the circumference of a circle.

8

Opposite angles in a cyclic quadrilateral

The opposite angles of a cyclic quadrilateral add up to 180°.

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Tangent to a circle

A straight line that touches the circle at exactly one point.

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Angle at the centre vs angle at the circumference

The angle subtended at the centre of a circle is twice the angle subtended at the circumference by the same arc.

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