EJU Japan · EJU Mathematics Course 1

Plane Geometry

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

Practise Plane Geometry now

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

All 8 questions

Two chords $A B$ and $C D$ of a circle meet at the interior point $P$ . If $P A = 6$ , $P B = 4$ and $P C = 2$ , find $P D$ .
A point $P$ is 26 units from the centre of a circle of radius 10. What is the length of a tangent from $P$ to the circle?
In a circle with centre $O$ , the central angle $∠ A O B = 11 0^{\circ}$ . What is the inscribed angle $∠ A C B$ on the major arc?
A point $P$ is 34 units from the centre of a circle of radius 16. What is the length of a tangent from $P$ to the circle?
A point $P$ is 39 units from the centre of a circle of radius 15. What is the length of a tangent from $P$ to the circle?
A point $P$ is 13 units from the centre of a circle of radius 5. What is the length of a tangent from $P$ to the circle?
In a circle with centre $O$ , the central angle $∠ A O B = 12 4^{\circ}$ . What is the inscribed angle $∠ A C B$ on the major arc?
In a circle with centre $O$ , the central angle $∠ A O B = 5 0^{\circ}$ . What is the inscribed angle $∠ A C B$ on the major arc?

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