Sultan Qaboos University Foundation & Aptitude Test · Mathematics Reasoning

Plane Geometry

5 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 5 questions

In a circle with centre $O$ , the central angle $∠ A O B = 6 4^{\circ}$ . What is the inscribed angle $∠ A C B$ on the major arc?
A point $P$ is 51 units from the centre of a circle of radius 24. What is the length of a tangent from $P$ to the circle?
In a circle with centre $O$ , the central angle $∠ A O B = 4 0^{\circ}$ . What is the inscribed angle $∠ A C B$ on the major arc?
Two chords $A B$ and $C D$ of a circle meet at the interior point $P$ . If $P A = 6$ , $P B = 5$ and $P C = 2$ , find $P D$ .
A point $P$ is 5 units from the centre of a circle of radius 3. What is the length of a tangent from $P$ to the circle?

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