EM-1682

Angle in a semicircle

E Math · Secondary 4 · Medium · Angle in a semicircle

In a circle with centre

O

,

AB

is a diameter and

C

is a point on the circle such that

\angle ACB = 90^\circ

.

Which statement is true?

$\angle ACB$ is a right angle because it stands on a diameter.
$\angle ACB$ is a right angle because it is at the centre.
$\angle ACB$ is acute because it is in a semicircle.
$\angle ACB$ is obtuse because it subtends the whole circle.

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